Question

a student does a survey to see if the proportions of men and women who plan to get a degree in a health field are different. what kind of hypottheisis test is this? 2 independent means t - test 1 mean t - test 2 means matched pairs t - test 1 proportion z - test 2 proportions z - test which hypotheses do we want to test? h0: p1 = p2 ha: p1 > p2 h0: p1 ≠ p2 ha: p1 = p2 h0: p1 = p2 ha: p1 ≠ p2 h0: p1 = p2 ha: p1 < p2

Explanation:

1. The student is comparing the proportions of two independent groups (men and women), so a 2 - Proportions z - test is appropriate. A 2 - Proportions z - test is used to test the difference between two population proportions.
2. The null hypothesis $H_0$ is typically a statement of no difference, so $H_0: p_1 = p_2$. The alternative hypothesis $H_A$ for testing if the proportions are different is $H_A: p_1

eq p_2$.

Answer:

1. 2 Proportions z - test
2. $H_0: p_1 = p_2$, $H_A: p_1

eq p_2$