Question

J. Aitchison collected expenditures data for 20 randomly selected single men and 20 randomly selected single women. He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women. What is the correct alternative hypothesis?

a. Md = 0
b. μα = 0
c. ud > 0
d. Opmen — Вwomen
e. Himen > Mwomen
f. Mmen Mwomen

Answer 1

The alternative hypothesis is
`H_1: \mu_M - \mu_W \\eq 0`, considering M for men and W for women.

Explanation:

He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women.

At the null hypothesis, we test if there is not difference, that is, the difference of the mean is 0, so:

`H_0: \mu_M - \mu_W = 0`

At the alternative hypothesis, we test if there is a difference, that is, the difference of the means is different of 0, so:

`H_1: \mu_M - \mu_W \\eq 0`