Let p equal the proportion of Americans who favor the death penalty. If a random sample of n = 1234 Americans yielded y = 864 who favored th

Question

Let p equal the proportion of Americans who favor the death penalty. If a random sample of n = 1234 Americans yielded y = 864 who favored the death penalty, find an approximate 95% confidence interval for p.

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Sarah 2 weeks 2021-09-12T06:29:49+00:00 1 Answer 0

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    2021-09-12T06:31:31+00:00

    Answer:

    (0.6744,0.7258)

    Step-by-step explanation:

    Given that p equal the proportion of Americans who favor the death penalty.

    n=1234\\y=864\\p=\frac{864}{1234} \\=0.7002\\q=0.2998

    std error =\sqrt{\frac{pq}{n} } \\=0.0130

    95% confidence interval=p±*margin of error

    margin of error = 1.96*std error =0.0256

    Confidence interval lower bound=0.7002-0.0256\\=0.6744

    Upper bound =0.7002+0.0256\\=0.7258

    (0.6744,0.7258)

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