9 (10 pts). This is an Extra Credit Problem. If you do this one correctly, 10 points will be add to your total score. A survey of 120 men found that 72 gamble. Another survey of 100 women found that 53 gamble. Let $p_1$ and $p_2$ be the proportions of men and women who gamble, respectively. (a) Test at $\alpha = 0.05$ if there is a difference in the population proportions? (b) Find the $P$-value of this test. (c) Check if the assumptions for this test are satisfied.
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The null hypothesis, denoted as H0, assumes that there is no difference in the population proportions. The alternative hypothesis, denoted as Ha, assumes that there is a difference in the population proportions. H0: p1 = p2 Ha: p1 ≠ p2 Step 2: Determine the Show more…
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