A 99% confidence intervals for the proportion of first-year statistics students with brown hair is given to be (0.27, 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.)

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