Aaccording to the US census bureau, 33% of men who worked at home were college graduates. In sample of 474 women who worked at home, 155 were college graduates.

a) construct an 80% confidence interval for the proportion of women who work at home who are college graduates is -----

2) A college admissions officer sampled 108 entering freshmen and found that 34 of them scored less than 600 on the math SAT.

a) Construct a 99% confidence interval for the proportion of all entering freshman at this college who scored less than 600 on the math SAT. Round the answer to at least three decimal places.

A 99% confidence interval for the proportion of all entering freshman at this college who scored less than 600 on the math SAT is ----