Problem set 2: use the following information to answer questions 4-8 (25 points total): A sample of 150 U.S. adults is composed of 107 men and 43 women. Estimate the standard error of the proportions for the female population (5 pts)?

A sample of 150 U.S. adults is composed of 107 men and 43 women. Estimate the standard error of the proportions for the male population (5 pts)?

A sample of 150 U.S. adults is composed of 107 men and 43 women, estimate the confidence interval for the female population with 90% confidence (5 pts)?

A sample of 150 U.S. adults is composed of 107 men and 43 women, estimate the confidence interval for the male population with 99% confidence (5 pts)?

Provide a substantive interpretation of the following 99 percent confidence interval: (.61, .81) (5 pts).