Suppose the sample proportion is 0.7, and the margin of error using a 95% confidence level is 0.1. Assuming that we could use the Central Limit Theorem, please construct a 95% confidence interval for the population proportion ( ). (Please retain one decimal place.)
Added by Elizabeth C.
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7 and the margin of error is 0.1, we can use the formula for the confidence interval for a population proportion: \[ \text{Confidence Interval} = \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \] where: - \(\hat{p}\) is the sample proportion (0.7 in this Show more…
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