Question

In: Statistics and Probability

partial credit,10.4.37-T Economists theorize that the recent recession has affected men more than women because men...

partial credit,10.4.37-T

Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of

175175

men and a sample of

145145

women were drawn. In those samples,

2121

men were unemployed, and

1313

of the women were unemployed. Complete parts a and b below.

Expert Solution

	Employed	Unemployed	Total
Male	173054	2121	175175
Female	143832	1313	145145
Total	316886	3434	320320

Expected	175175*316886/320320=173297.031	3434*175175/320320=1877.96875
Frequencies	316886*145145/320320=143588.969	3434*145145/320320= 1556.03125

Now the calculation for chi square test:

H0: Recession has affected men and women equally(NULL HYPOTHESIS)

H1: Recession has affected men more than women.(ALTERNATE HYPOTHESIS)

Class	Freq.(f)	Expected(e)	(f-e)^2	(f-e)^2/e
Male employed	173054	173297.031	59064.067	0.34082
Male Unemployed	2121	1877.96875	59064.1885	31.4511
Female employed	143832	143588.969	59064.067	0.4113
Female Unemployed	1313	1556.03125	59064.1885	37.9582
Total				70.9582

it is significant at 5% level of significance and we reject the null hypothesis hence, recent recession has affected men more than women

orchestra answered 1 year ago

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