Suppose that 77% of the students at a small private university carry student loans. For a SRS of students at this university, let P(hat) be the sample proportion of the students who carry student loans. How large would a sample from this population need to be to ensure that the distribution of the sample proportion is normally distributed?

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Suppose that 77% of the students at a small private university carry student loans. For a SRS of students at this university, let P(hat) be the sample proportion of the students who carry student loans. How large would a sample from this population need to be to ensure that the distribution of the sample proportion is normally distributed?
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