Seat Belt Use In a random sample of 205 men, 102 said they used seat belts. In a random sample of 324 women, 86 said they used seat belts. Test the claim that men are more safety conscious than women, at $\alpha=0.05$. Use the $P$-value method and use $p_{1}$ for the proportion of men who use seat belts and round all intermediate calculations to at least three decimal places.
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Part 1 of 5
(a) State the hypotheses and identify the claim with the correct hypothesis.
\[
\begin{array}{l}
H_{0}: \square(\text { (Choose one) } \nabla \\
H_{1}: \square(\text { Choose one) } \nabla
\end{array}
\]

This hypothesis test is a (Choose one) $\nabla$.

Step 1 ：The problem is asking to test the claim that men are more safety conscious than women. This is a problem of hypothesis testing for two proportions.

Step 2 ：The null hypothesis (H0) is usually the hypothesis that there is no difference or no effect. In this case, it would be that the proportion of men who use seat belts is equal to the proportion of women who use seat belts.

Step 3 ：The alternative hypothesis (H1) is the hypothesis that we are testing. In this case, it would be that the proportion of men who use seat belts is greater than the proportion of women who use seat belts.

Step 4 ：This is a right-tailed test because we are testing if one proportion is greater than the other.

Step 5 ：The hypotheses are: \[H_{0}: p_{1} = p_{2}\] \[H_{1}: p_{1} > p_{2}\]

Step 6 ：The claim corresponds to the alternative hypothesis \[H_{1}: p_{1} > p_{2}\].

Step 7 ：This hypothesis test is a right-tailed test.