11. Adecco Workplace Insights Survey sampled men and women workers and asked if
ID: 3314479 • Letter: 1
Question
11.
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
Ha: p1 - p2
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.
Explanation / Answer
A.1) total men=200
Total women=200
Men yes=104
Women yes=74
A.a) Null hypothesis
H0:p1-p20
Alternate Hypothesis
Ha:p1-p2>0
A.b) Men proportion(p1)=104/200=0.52
Women proportion(p2)=74/200=0.37 0.0013
A.c) level of significance()=0.01
Pooled proportion(P3)=(104+74)/(200+200)
Pooled proportion(P3)=0.445
Standard of error-SE(Pooled)=sqrt{(0.445*0.555/200)+(0.445*0.555/200)}
SE(pooled)=0.0497
Z={(p1-p2)-0}/SE
Z={(0.52-0.37)-0}/0.0497
Z=3.018
From the statistical table p-value for Z=3.018 is 0.0013
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