Questions from Applied Statistics

Q: Interpret each p-value in your own words: a

Interpret each p-value in your own words: a. p-value = .387, H0: π > .20, H1: π < .20, α = .10 b. p-value = .043, H0: π < .90, H1: π > .90, α = .05 c. p-value = .0012, H0: π = .50, H1: π ≠ .50, α = .0...

Q: Calculate the test statistic and p-value for each sample.

Calculate the test statistic and p-value for each sample. a. H0: π < .60 versus H1: π > .60, α = .05, x = 56, n = 80 b. H0: π = .30 versus H1: π ≠ .30, α = .05, x = 18, n = 40 c. H0: π > .10 versus H1...

Q: Between 2 a.m. and 4 a.m.

Between 2 a.m. and 4 a.m. at an all-night pizza parlor, the mean time between arrival of telephone pizza orders is 20 minutes. (a) Find the median wait for pizza order arrivals. (b) Explain why the me...

Q: In a hospital’s shipment of 3,500 insulin syringes, 14

In a hospital’s shipment of 3,500 insulin syringes, 14 were unusable due to defects. (a) At α = .05, is this sufficient evidence to reject future shipments from this supplier if the hospital’s quality...

Q: To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat

To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. In a random samp...

Q: To encourage telephone efficiency, a catalog call center issues a guideline

To encourage telephone efficiency, a catalog call center issues a guideline that at least half of all telephone orders should be completed within 2 minutes. Subsequently, a random sample of 64 telepho...

Q: The recent default rate on all student loans is 5.2

The recent default rate on all student loans is 5.2 percent. In a recent random sample of 300 loans at private universities, there were 9 defaults. (a) Does this sample show sufficient evidence that t...

Q: A coin was flipped 12 times and came up heads 10 times

A coin was flipped 12 times and came up heads 10 times. (a) Would we be justified in assuming that the sample proportion p is normally distributed? Explain. (b) Calculate a p-value for the observed sa...

Q: A quality expert inspects 400 items to test whether the population proportion

A quality expert inspects 400 items to test whether the population proportion of defectives exceeds .03, using a right-tailed test at α = .10. (a) What is the power of this test if the true proportion...

Q: Repeat the previous exercise, using α = .05. For

Repeat the previous exercise, using α = .05. For each true value of π, is the power higher or lower? Previous exercise: A quality expert inspects 400 items to test whether the population proportion...