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The Gallup Poll asked a sample of 178 U.S. adults, "Did you, yourself, happen to attend church or synagogue in the last 7 days?" Of the respondents, 75 said "Yes" Suppose that Gallup's sample was an SRS.

a) Give a 95% confidence interval for the proportion of all U.S. adults who attended church.
b) Use "Plus Four" method to have a more accurate 95% confidence interval.
c) Is this proportion of sample different from the national proportion 0.5 0 p =Given α = 0.05.

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