Question: Using a sample, you construct a 95% confidence interval for a population proportion p using a normal distribution model for p. The 95% confidence interval

Using a sample, you construct a 95% confidence interval for a population proportion p using a normal distribution model for p. The 95% confidence interval that you obtain is the interval [10, 14]. Using the same sample, your friend uses a normal distribution model for p and constructs an x% confidence interval for p. Their confidence interval is [11, 13]. Is x greater than or less than 95? Explain how you know.

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