In a sample of 514 women who worked at home 158 were college graduates Worked at home were college graduates a Find a point estimate for the proportion of college graduates among women who work at home Round the answer to at least three decimal places Green that A 514 xx X 158 The pount estimate cs P X 158 10 307 514 b Verify requirements assumptions for finding a confidence interval about p c Construct an 80 confidence interval for the proportion of women who work at home who are college graduates Round the answer to at least three decimal places 20 20 X 1 0 80 1 2 0 10 0 307 0 020 1 0 280918 00 1 282 using 2 table 50 I 0 281kp Q 281 44 03 2 20 10 0 Confidence interval for the proporti PI x 2 X PXC1 P 0 307 1 282 X 10 307 XC1 0 307 514 d Based on the confidence interval is it reasonable to believe that the proportion of college graduates among women who work at home is the same as the proportion of college graduates among men who work at home Explain Hint How many men work at home that are college graduates