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12% of the Residents of One Town Are Aged Over

Question 35

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12% of the residents of one town are aged over 70. The distribution of sample proportions for samples of 140 residents is normal with a mean of 0.12 and a standard deviation of 0.027.
Suppose that you select a sample of 140 residents and find that the proportion aged over 70 in the sample is 0.08. What is the probability that a second sample would be selected with a proportion greater than 0.08?

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