A 99% confidence intervals for the proportion of first-year statistics students with brown hair is given to be (0.22, 0.45).

(a) What is the sample proportion of students with brown hair?(Round to 3 decimal places, if needed.)

(b) What is the margin of error of this interval?(Round to 3 decimal places, if needed.)

(c) What is the critical value used for this interval?(Round to 3 decimal places, if needed.)

(d) What is the standard error of the estimate?(Round to 3 decimal places, if needed.)

(e) What was the sample size?(Round to the appropriate integer.)