Chapter 8, Problem 5SE

Teen Drivers According to a 2015 University of Michigan poll, $71.5\%$ of high school seniors in the United States had a driver’s license. A sociologist thinks this rate has declined. The sociologist surveys 500 randomly selected high school seniors and finds that 350 have a driver’s license.

a. Pick the correct null hypothesis.

i. $p=0.715$

ii. $p=0.70$

iii. $\hat{p}=0.715$

iv. $\hat{p}=0.70$

b. Pick the correct alternative hypothesis.

i. $p>0.715$

ii. $p<0.715$

iii. $\hat{p}<0.715$

iv. $p\ne 0.715$

c. In this context, the symbol $p$ represents (choose one)

i. the proportion of high school seniors in the entire United States that have a driver’s license.

ii. the proportion of high school seniors in the sociologist’s random sample that have a driver’s license.