Question

Let p be the population proportion for the situation. (a) Find point estimates of p and q, (b) construct 90% and 95% confidence intervals for p, and (

Confidence intervals
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asked 2021-06-02
Let p be the population proportion for the situation. (a) Find point estimates of p and q, (b) construct 90% and 95% confidence intervals for p, and (c) interpret the results of part (b) and compare the widths of the confidence intervals. In a survey of 2223 U.S. adults, 1334 say an occupation as an athlete is prestigious.

Answers (1)

2021-06-03
(a)\(\displaystyle\overbrace{{{p}}}={0.3351},\overbrace{{{q}}}={0.6649}\)
(b)90% confidence interval: (0.3186, 0.3516)
95% confidence interval: (0.3155, 0.3547)
(c)The 95% confidence interval is wider than the 90% confidence interval.
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