1. Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to...

1.

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 proportion of women?

H₀: p₁ - p₂ Selectgreater than 0greater than or equal to 0less than 0less than or equal to 0equal to 0not equal to 0Item 1
H_a: p₁ - p₂ Selectgreater than 0greater than or equal to 0less than 0less than or equal to 0equal to 0not equal to 0Item 2

b. What is the sample proportion for men? Round your answer to two decimal places.

What is the sample proportion for women? Round your answer to two decimal places.

c. Use a .01 level of significance. What is the p-value? Use z-table. Round your answer to four decimal places.

2.

Use the sample data below to test the hypotheses

H ₀: p ₁ = p ₂ = p ₃

H _a: Not all population proportions are the same

	Populations
Response	1	2	3
Yes	200	200	94
No	150	200	106

where p _i is the population proportion of yes responses for population i. Using a .05 level of significance. Use Table 12.4.

Compute the value of the ² test statistic (to 2 decimals).

Expert Solution

orchestra answered 1 year ago

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