Question

Generate a confidence interval using the empirical rule Question In a questionnaire, a random sample of students were asked whether they studied for more than four hours to prepare for an upcoming chapter test. The questionnaire resulted in a sample proportion of p' = 0.58, with a sampling standard deviation of oy = 0.11, who studied more than four hours. Write a 99.7% confidence interval for the true proportion of students who studied for more than four hours. Provide your answer below:

Answer 1

ANSWER

99.7% of area lies within 3 standard deviations of the mean.

Confidence interval

= (p — 3 жор, p+3 жор)

                                = (0.58 - 3 * 0.11 , 0.58 + 3 * 0.11 )

                                = (0.25 , 0.91)

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