A researcher would like to estimate p, the proportion of U. S. adults who support recognizing civil unions between gay or lesbian couples. If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U. S. adults), what sample size should be used?

(a) 17,778 (b) 4,445 (c) 1,112 (d) 67 (e) 45

Question

Mathematics

Guest

Today, 19:35

A researcher would like to estimate p, the proportion of U. S. adults who support recognizing civil unions between gay or lesbian couples. If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U. S. adults), what sample size should be used?

(a) 17,778 (b) 4,445 (c) 1,112 (d) 67 (e) 45

+4

Answers (1)

Know the Answer?

Trey Ortiz · Answer 1

(b) 4,445

Step-by-step explanation:

If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U. S. adults), what sample size should be used?

Given a=0.05, |Z (0.025) |=1.96 (check standard normal table)

So n = (Z/E) ^2*p * (1-p)

= (1.96/0.015) ^2*0.5*0.5

=4268.444

Take n=4269

Answer: (b) 4,445