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  3. (1 point) a poll is taken in which 388 out of 600

(1 point) A poll is taken in which 388 out of 600 randomly selected voters indicated...

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Statistics

(1 point) A poll is taken in which 388 out of 600 randomlyselected voters indicated their preference for a certaincandidate.

(a) Find a 99% confidence interval for p (.......≤p≤........)

(b) Find the margin of error for this 99% confidence intervalfor p.

Answer & Explanation Solved by verified expert
3.8 Ratings (591 Votes)

p = 388/600 = 0.6467

b) Z for 99% confidence interval = Z0.005 = 2.575

Margin of error = Z0.005 * sqrt(p * (1 - p) / n)

                        = 2.575 * sqrt(0.6467 * (1 - 0.6467) / 600)

                        = 0.0502

a) Confidence interval = p + margin of error

                                    = 0.6467 + 0.0502

                                    = 0.5965 < p < 0.6969
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