SOLUTION: A recent survey of 200 companies showed that 8 had a female as the head of the company. A year ago, a survey of 200 companies showed that 6 had a female as the head of the company.
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Question 1156451: A recent survey of 200 companies showed that 8 had a female as the head of the company. A year ago, a survey of 200 companies showed that 6 had a female as the head of the company. At α = 0.05, can it be concluded that the proportion has changed? Find the 95% confidence interval of the difference of the two proportions. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! this is a two sample proportion test with
half interval is +/- 1.96* SE is sqrt((pi(1-p1)/n1 +(p2-(1-p2)/n2))
=1.96*00.0184 where p1=0.04 and p2=0.03 and n1=n2=200
=0.0360
so 95% CI=0.01+/-0.0360 or (-0.026, 0.046)
zero is in the interval
