Question

A recent report states that less than 50% of the teenagers in Dover City were able to pass a driving test. Consequently, the city's driver's education department is trying to convince the city council to fund more driving programs. The council will fund more programs only if the driver's education department can provide convincing evidence that the report is true. Members of the department plan to collect data from a sample of 150 teenagers who live in Dover City. A test of significance will be conducted at a significance level of α = 0.05 for the hypotheses H0: p = 0.50 and Ha: p < 0.50, where p is the proportion of teen residents who live in the city and are able to pass the driving test. Part A: Describe a Type II error in the context of the study and the consequence of making this type of error. (3 points) Part B: Members of the driver's education department recruit 150 teenage residents who volunteer to take the driving test. The test is passed by 77 of the 150 volunteers, resulting in a p-value of 0.6280 for the given hypotheses. If it is reasonable to conduct a test of significance for the given hypotheses using the data collected from the 150 volunteers, what does the p-value of 0.6280 lead you to conclude? (4 points) Part C: Describe the primary flaw in the study described in part B and explain why it is a concern

          A recent report states that less than 50% of the teenagers in
Dover City were able to pass a driving test. Consequently, the
city's driver's education department is trying to convince the city
council to fund more driving programs. The council will fund more
programs only if the driver's education department can provide
convincing evidence that the report is true.
Members of the department plan to collect data from a sample of
150 teenagers who live in Dover City. A test of significance will
be conducted at a significance level of α = 0.05 for the hypotheses
H0: p = 0.50 and Ha: p < 0.50, where p is
the proportion of teen residents who live in the city and are able
to pass the driving test.
Part A: Describe a Type II error in the
context of the study and the consequence of making this type of
error. (3 points)
Part B: Members of the driver's education
department recruit 150 teenage residents who volunteer to take the
driving test. The test is passed by 77 of the 150 volunteers,
resulting in a p-value of 0.6280 for the given hypotheses. If it is
reasonable to conduct a test of significance for the given
hypotheses using the data collected from the 150 volunteers, what
does the p-value of 0.6280 lead you to conclude? (4 points)
Part C: Describe the primary flaw in the
study described in part B and explain why it is a concern

Added by Connie G.

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