[SOLVED] The P-value for a hypothesis test

> Use the figure at the left, which suggests what adults think about protecting the environment. You interview a random sample of 100 adults. The results of the survey show that 59% of the adults said they live in ways that help protect the environment so

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A humane society claims that 5% of

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A humane society claims that less

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A research center claims that at m

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A research center claims that 27%

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> The annual earnings (in dollars) for 30 randomly selected locksmiths are shown below. Assume the population is normally distributed. a. Construct a 95% confidence interval for the population mean annual earnings for locksmiths. b. A researcher claims t

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> Explain how to determine whether a normal distribution can be used to approximate a binomial distribution.

> State whether each standardized test statistic t allows you to reject the null hypothesis. Explain. a. t = 2.091 b. t = 0 c. t = -2.096 4 / -i oi234 --2.086 O 1 2 3

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Two-tailed test, σ = 0.10, n = 38

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Two-tailed test, σ = 0.05, n = 27

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Right-tailed test, σ = 0.01, n = 31

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Right-tailed test, σ = 0.05, n = 23

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Left-tailed test, σ = 0.01, n = 35

> You are testing a claim and incorrectly use the standard normal sampling distribution instead of the t-sampling distribution. Does this make it more or less likely to reject the null hypothesis? Is this result the same no matter whether the test is left-

> Decide whether you should use the standard normal sampling distribution or a t-sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test

> An education organization claims that the mean SAT scores for male athletes and male non-athletes at a college are different. A random sample of 26 male athletes at the college has a mean SAT score of 1189 and a standard deviation of 218. A random sample

> Decide whether you should use the standard normal sampling distribution or a t-sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. Assume the population is normally

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Left-tailed test, σ = 0.10, n = 20

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. Assume the population is normally

> a.Â identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> The mean room rate for two adults for a random sample of 26 three-star hotels in Cincinnati has a sample standard deviation of $31. Assume the population is normally distributed. a. Construct a 99% confidence interval for the population variance. b. Con

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> Explain how to use a t-test to test a hypothesized mean m when s is unknown. What assumptions are necessary?

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ ≠ 52,200; α = 0.05. Sample statistics: x = 53,220, s = 2700, n = 34

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ < 4915; α = 0.02. Sample statistics: x = 5017, s = 5613, n = 51

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ ≤ 1600; α = 0.02. Sample statistics: x = 1550, s = 165, n = 46

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ ≥ 8000; α = 0.01. Sample statistics: x = 7700, s = 450, n = 25

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ > 25; α = 0.05. Sample statistics: x = 26.2, s = 2.32, n = 17

> A pediatrician claims that the mean birth weight of a single-birth baby is greater than the mean birth weight of a baby that has a twin. The mean birth weight of a random sample of 85 single-birth babies is 3086 grams. Assume the population standard devi

> Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ = 15; α = 0.01. Sample statistics: x = 13.9, s = 3.23, n = 36

> State whether each standardized test statistic t allows you to reject the null hypothesis. Explain. a. t = -1.1 b. t = 1.01 c. t = 1.7 -40=-1071 -1.071

> State whether each standardized test statistic t allows you to reject the null hypothesis. Explain. a. t = -1.755 b. t = -1.585 c. t = 1.745 -4 -3 -2-i a 1/2 3 4 -4=-1725 6= 1725

> State whether each standardized test statistic t allows you to reject the null hypothesis. Explain. a. t = 1.4 b. t = 1.42 c. t = -1.402 4 -3 -2 -1 0 / 2 3 6= 1402

> Explain how to find critical values for a t-distribution.

> Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance α. Left-tailed test z = -1.32 α = 0.10

> The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is a. α = 0.01, b. α = 0.05, and c. α = 0.10. P = 0.0062

> The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is a. α = 0.01, b. α = 0.05, and c. α = 0.10. P = 0.0838

> The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is a. α = 0.01, b. α = 0.05, and c. α = 0.10. P = 0.1271

> The statement represents a claim. Write its complement and state which is H0 and which is Ha. µ ≠ 2.28

> a. Identify the claim and state H0 and Ha. b. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. c. Choose one of the options. Option

> Exercise 12.105 described the problem of a looming shortage of professors, possibly made worse by professors desiring to retire before theage of 65. A survey asked a random sample of professors whether he or she intended to retire before 65. The response

> Given the high cost of medical care, research that points the way to avoid illness is welcome. Previously performed research tells us that stress affects the immune system. Two scientists at Carnegie Mellon Hospital in Pittsburgh asked 114 healthy adults

> A scientist believes that the gender of a child is a binomial random variable with probability = .5 for a boy and .5 for a girl. To help test herbelief, she randomly samples 100 families with five children. She records the number of boys. Can the scienti

> In a series of annual surveys of residents of the United States between 2009 and 2013 Gallup asked, “Is corruption widespread throughout the government in this country or not”? The responses (1 = Yes and 2 = No) were recorded. Is there sufficient evidenc

> Gallup asked in a recent survey conducted around the world, “In this country, are you satisfied or dissatisfied with your freedom to choose what you do with your life?” The responses are 1 = Satisfied, 2 = Dissatisfied. The results for 1 = Australia, 2 =

> Refer to Exercise 15.94. Each respondent was also asked whether they are currently depressed (1= Yes, 2 = No). Is there sufficient evidence to infer that alcohol and current depression are related? Data from Exercise 15.94: Clinical depression is a seri

> Clinical depression is a serious disorder that affects millions of people. Depression oftenleads to alcohol as a means of easing the pain. A Gallup survey attempted to study the relationship between depression and alcohol. A random sample of adults was d

> Every week, the Florida Lottery draws six numbers between 1 and 49. Lottery ticket buyers are naturally interested in whether certain numbers are drawn more frequently than others. To assist players, the Sun-Sentinel publishes the number of times each of

> A newspaper publisher trying to pinpoint his market’s characteristics wonderedwhether the way people read a newspaper is related to the reader’s educational level. A surveyasked adult readers which section of the paper they read first and asked to report

> More than 3,000 Americans quit smoking each day. Because nicotine is one of the most addictive drugs, quitting smoking is a difficult and frustrating task. It usually takes several tries before success is achieved. There are various methods, including co

> Grades assigned by an economics instructor have historically followed a symmetrical distribution: 5% A’s, 25% B’s, 40% C’s, 25% D’s, and 5% F’s. This year, a sample of 150 grades was drawn and the grades (1 = A, 2 = B, 3 = C, 4 = D, and 5 = F) were recor

> Stress is a serious medical problem that costs businesses and government billions of dollars annually. As a result, it is important to determine the causes and possible cures. It would be helpful to know whether the causes are universal or do they vary f

> A management behavior analyst has been studying the relationship between male/female supervisory structures in the workplace and the level of employeesâ job satisfaction. The results of a recent survey are shown in the accompanying tabl

> Suppose that the personnel department in Exercise 15.87 continued its investigation by categorizing absentees according to the shift on whichthey worked, as shown in the accompanying table. Is there sufficient evidence at the 10% significancelevel of a r

> It has been estimated that employee absenteeism costs North American companies more than $100 billion per year. As a first step in addressing the rising cost of absenteeism, the personnel department of a large corporation recorded the weekdays during whi

> An organization dedicated to ensuring fairness in television game shows is investigating Wheel of Fortune. In this show, three contestants are required to solve puzzles by selecting letters. Each contestant gets to select the first letter and continues s

> In Exercise 13.115, you performed a test of the mean matched pairs difference. Test with a 10% significance level to determine whether the normality requirement is violated.

> Exercise 13.26 asked you to conduct a t-test of the difference between two means (reaction times). Test to determine whether there is enough evidence to infer that the reaction times are not normally distributed. A 5% significance level is judged to be s

> Exercise 13.25 required you to conduct a t-test of the difference between two means. Each samples productivity data are required to be normally distributed. Is that required condition violated? Test with  = .05.

> The t-test in Exercise 12.37 requires that the costs of prescriptions is normally distributed. Conduct a test with = .05 to determine whether the required condition is unsatisfied. If there is enough evidence to conclude that the requirement is not sat

> Refer to Exercise 12.31. Test at the 10% significance level to determine whether the amount of time spent working at part-time jobs is normally distributed. If there is evidence of nonnormality, is the t-test invalid? Data from Exercise 12.31: A growing

> To determine whether a single die is balanced, or fair, the die was rolled 600 times. Is there sufficient evidence to allow you to conclude that the die is not fair?

> A random sample of 50 observations yielded the following frequencies for the standardized intervals: Can we infer that the data are not normal? (Use ï¡ = .10.) Interval Frequency Zs-1 6 -1 <Z<0 27 0<ZS1 Z>1 14 3

> Suppose that a random sample of 100 observations was drawn from a population. After calculating the mean and standard deviation, each observation was standardized and the number of observations in each of the following intervals was counted. Can we infer

> The president of a company that manufactures automobile air conditioners is considering switching his supplier of condensers. Supplier A, the current producer of condensers for the manufacturer, prices its product 5% higher than supplier B. Because the p

> Automobile insurance companies take many factors into consideration when setting rates. These factors include age, marital status, and miles driven per year. To determine the effect of gender, 2 years of driving experience) male and female drivers was su

> The cruise ship business is rapidly increasing. Although cruises have long been associated with seniors, it now appears that younger people are choosing a cruise as their vacations. To determine whether this is true, an executive for a cruise line sample

> In random samples of 12 from each of two normal populations, we found the following statistics: x1 = 74 s1 = 18 x2 = 71 s2 = 16 a. Test with = .05 to determine whether we can infer that the population means differ. b. Repeat part (a) increasing the s

> In assessing the value of radio advertisements, sponsors consider not only the total number of listeners but also their ages. The 18 to 34 age group is considered to spend the most money. To examine the issue, the manager of an FM station commissioned a

> Is eating oat bran an effective way to reduce cholesterol? Early studies indicated that eating oat bran daily reduces cholesterol levels by 5% to 10%. Reports of this study resulted in the introduction of many new breakfast cereals with various percentag

> The president of Tastee Inc., a baby-food producer, claims that her company’s product is superior to that of her leading competitor because babies gain weight faster with her product. (This is a good thing for babies.) To test this claim, a survey was un

> How do drivers react to sudden large increases in the price of gasoline? To help answer the question, a statistician recorded the speeds of cars as they passed a large service station. He recorded the speeds (mph) in the same location after the service s

> Because there are no national or regional standards, it is difficult for university admission committees to compare graduates of different high schools. University administrators have noted that an 80% average at a high school with low standards may be e

> A growing concern among fans and owners is the amount of time to complete a major league baseball game. To assess the extent of the problem, a statistician recorded the amount of time (in minutes) to complete a random sample of games 5 years ago and this

> Who spends more on their vacations, golfers or skiers? To help answer this question, a travel agency surveyed 15 customers who regularly take their spouses on either a skiing or a golfing vacation. The amounts spent on vacations last year are shown here.

> A number of restaurants feature a device that allows credit card users to swipe their cards at the table. It allows the user to specify a percentage or a dollar amount to leave as a tip. In an experiment to see how it works, a random sample of credit car

> A menâs softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the effectiveness is to count the number of errors. In a preliminary experiment, the yellow baseball was used in

> a. Apply Tukey’s multiple comparison method to determine which fertilizers differ in Exercise 14.14. b. Repeat Part a applying the Bonferroni adjustment.

> An engineering student who is about to graduate decided to survey various firms in Silicon Valley to see which offered the best chance for early promotion and career advancement. He surveyed 30 small firms (size level is based on gross revenues), 30 medi

> Refer to Exercise 14.12. a. Apply Fisher’s LSD method with the Bonferroni adjustment to determine which lacquers differ. b. Repeat Part a applying Tukey’s method instead. Data from Exercise 14.12: A manufacturer of outdoor brass lamps and mailboxes has

> Police cars, ambulances, and other emergency vehicles are required to carry road flares. One of the most important features of flares is their burning times. To help decide which of four brands on the market to use, a police laboratory technician measure

> a. Apply Tukey’s multiple comparison method to determine which forms differ in Exercise 14.10. b. Repeat Part a applying the Bonferroni adjustment.

> a. Apply Fisher’s LSD method with the Bonferroni adjustment to determine which schools differ in Exercise 14.9. b. Repeat Part a applying Tukey’s method instead.

> A multinomial experiment was conducted with k = 4. Each outcome is stored as an integer from 1 to 4 and the results of a survey were recorded. Test the following hypotheses. H0: p1 = .15, p2 = .40, p3 = .35, p4 = .10 H1: At least one pi is not equal to i

> Refer to Exercise 14.6. a. Employ Fisher’s LSD method to determine which degrees differ (use = .10). b. Repeat Part a using the Bonferroni adjustment. Data from Exercise 14.6: Many college and university students obtain summer jobs. A statistics profess

> Apply Tukey’s method to determine which brands differ in Exercise 14.5.

> Developing an Understanding of Statistical Concepts a. Use Fisher’s LSD procedure with _ = .05 to determine which population means differ given the following statistics: k = 5 n1 = 5 n2 = 5 n3 = 5 MSE = 125 x1 = 227 x2 = 205 x3 = 219 n4 = 5 n5

> Developing an Understanding of Statistical Concepts a. Use Fisher’s LSD method with _ = .05 to determine which population means differ in the following problem. k = 3 n1 = 10 n2 = 10 n3 = 10 MSE = 700 x1 = 128.7 x2 = 101.4 x3 = 133.7 b. Repeat Par

Question: The P-value for a hypothesis test