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According to the Current Population Report of the United States census, 26.7% of

ID: 3317941 • Letter: A

Question

According to the Current Population Report of the United States census, 26.7% of people aged 65 and older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of people aged 65 and older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 90% and a margin of error of 3%, or 0.03. Determine the sample size n needed for the 90% confidence interval to be no more than 0.03.

Explanation / Answer

Sample size = Z2 * p(1-p) / E2

= 1.64492 * 0.267 * 0.733 / 0.032

= 588.37

= 589 (Rounded up to nearest integer)

Sample size = 589

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