Question

Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012). Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes, are the results statistically significant in that you can conclude a greater proportion of men are expecting to get a raise or a promotion this year? a. State the hypothesis test in terms of the population proportion of men and the population proportio

Answer 1

Null hypothesis:
`H_0: p_1-p_2\leq 0`

Alternative hypothesis:
`H_a: p_1-p_2>0`

Explanation:

Consider the provided information.

Let us consider that
`p_1` represents proportion of men.

Let us consider that
`p_2` represents proportion of women.

If there is no statistical significance in the test then it is know as the null which is denoted by
`H_0`, otherwise it is known as alternative hypothesis which denoted by
`H_a`.

Therefore, required null and alternative hypothesis are:

`H_0: p_1-p_2\leq 0`

`H_a: p_1-p_2>0`