Question

A sample of 360 college graduates was surveyed, 200 of them were men and 160 were women, and each was asked if they earn more or less than $50,000 per year. The following data was obtained:

	≥ $50,000	< $50,000	Total
Men	120	80	200
Women	60	100	160
Total	180	180	360

In testing the claim that the proportion of men earning over $50,000 is more than the proportion of women earning over $50,000 for  α = 0.05, what is the value of pooled proportion ( )?

		0.50
		0.05
		0.60
		0.56

Answer 1

Total no. of a male in a sample of 360 is 200 out of which no. of men who earn more than $50000 is 120. So, the proportion of men whose earning is more than $50000 rupees is p1=120/200 = 0.6 and n1=200

Total no. of women in a sample of 360 is 160 out of which no. of women who earn more than $50000 is 60. So, the proportion of women whose earning is more than $50000 rupees is p2=60/160 = 0.375 and n2=160

Thus, pooled proportion=