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In a random sample of 512 hospital patients, 102 were readmitted within 30 days of discharge....

In a random sample of 512 hospital patients, 102 were readmitted within 30 days of discharge. A 95% confidence interval for the proportion of all hospital patients who are readmitted within 30 days of discharge is about

Math   Statistics-And-Probability   
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Answer #1

sample proportion = 102 / 512 = 0.199

95% confidence interval for p is

- Z * sqrt( ( 1 - ) / n) < p < + Z * sqrt( ( 1 - ) / n)

0.199 - 1.96 * sqrt( 0.199 * 0.801 / 512) < p < 0.199 + 1.96 * sqrt( 0.199 * 0.801 / 512)

0.164 < p < 0.234

95% CI is ( 0.164 , 0.234)

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