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Calculate a 95% confidence interval for the proportion of students who like statistics. A sample of...

Calculate a 95% confidence interval for the proportion of students who like statistics. A sample of 120 students has 70 who like statistics.

Math   Statistics-And-Probability   
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Answer #1

Sample proportion = 70 / 120 = 0.583

95% confidence interval for p is

- Z/2 * sqrt( ( 1 - ) / n) < p < + Z/2 * sqrt( ( 1 - ) / n)

0.583 - 1.96 * sqrt( 0.583 * 0.417 / 120) < p < 0.583 + 1.96 * sqrt( 0.583 * 0.417 / 120)

0.495 < p < 0.671

95% CI is ( 0.495 , 0.671)

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