le of teenage drivers living in Dover City for H0: p = 0.50 and Ha: p < 0.50, where p is the proportion of these teenage driver residents of Dover City that c

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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At a Dover City Council meeting, a plan to fund more driver's education programs was presented. The reasoning behind the request was that less than 50% of teenage drivers in the city could pass a driving test. If this is true, the council will agree to fund more driver education programs. The city council decides to take a 150-person volunteer sample of teenage drivers living in Dover City for H0: p = 0.50 and Ha: p < 0.50, where p is the proportion of these teenage driver residents of Dover City that can pass a driving test. They will perform a significance test at a significance level of α = 0.05 for the hypotheses.

Part A: Describe a Type II error that could occur. What impact could this error have on the situation?

Part B: Out of 150 teenage drivers living in Dover City that volunteered to take a driving test, 77 passed, resulting in a p-value of 0.6280. What can you conclude from this p-value given the data of the 150 teenagers is sufficient to perform a significance test for the hypotheses?

Part C: What possible defect in the study can you find in Part B? Explain.

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