1. A study of 150 randomly selected occupants in passenger cars and 200 randomly selected occupants in pickup trucks shows that 86% of occupants in passenger cars and 74% of occupants in pickup trucks wear seat belts. At a = 0.10, can you reject the claim that the proportion of occupants who wear seat belts is the same for passenger cars and pickup trucks?
2. Consider the results of the study discussed on page 417. At a = 0.05, can you support the claim that there is a difference between the proportion of yoga users who are 40- to 49-year-olds and the proportion of non-yoga users who are 40- to 49-year-olds?
a. Find p and q.
b. Verify that n1p, n1q, n2p, and n2q are at least 5.
c. Identify the claim and state H0 and Ha.
d. Identify the level of significance a.
e. Find the critical values and identify the rejection regions.
f. Find the standardized test statistic z. Sketch a graph.
g. Decide whether to reject the null hypothesis.
h. Interpret the decision in the context of the original claim.