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A poll found that 61​% of a random sample of 1002 adults said that they believe...

A poll found that 61​% of a random sample of 1002 adults said that they believe in ghosts. a. Determine the margin of error for a​ 99% confidence interval. b. Without doing any​ calculations, indicate whether the margin of error is larger or smaller for a​ 90% confidence interval.

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Answer #1

a) For 99% confidence, z = 2.576

Hence,

Margin of error

E = 0.0397

b) For 90% confidence, z critical value will be lesser as compared to 99% confidence interval and hence, margin of error would be smaller for 90% confidence interval.

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