A researcher claims the proportion of auto accidents that involve teenage drivers is greater than 10%. ABC Insurance Company checks police records on 200 randomly selected auto accidents and notes that teenagers were at the wheel in 25 of them. Assume the company wants to use a 0.10 significance level to test the researcher's claim.

(a) What is the appropriate hypothesis test to use for this analysis: one-sample z-test for the population proportion, one-sample t-test for population proportion, one-sample z-test for population mean, or one-sample t- test for population mean? Please identify and explain why it is appropriate.

(b) Identify the null hypothesis and the alternative hypothesis.

(c) Determine the test statistic. Round your answer to two decimal places. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(d) Determine the P-value for this test. Round your answer to three decimal places. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(e) Compare p-value and significance level . What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?

(f) Is there sufficient evidence to support the researcher's claim that the proportion of auto accidents that

involve teenage drivers is greater than 10%? Explain.