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The Principal at Thomas Jefferson High School Has Been Asked p^\hat{ p}

Question 21

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The principal at Thomas Jefferson High School has been asked to estimate theproportion of students at the school who drive to school and use the school parkinglot. He takes a random sample of size n = 32 students and calculates a sampleproportion, p^\hat{ p} = 0.8. "Now," he exclaims, "since my sample size is greater than 30,the sampling distribution of the sample proportion is approximately normal." Writea short paragraph that explains why his statement is not correct.

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Since 0.20(32) <10, ...

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