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4 July, 22:57

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

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  1. 5 July, 02:24
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    (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
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