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In a sample of 1042 US citizens polled about whether they thought the US should have a national speed limit, 458 responded yes. This gives

In a sample of 1042 US citizens polled about whether they thought the US should have a national speed limit, 458 responded yes. This gives a sample proportion of phat = 458/1042 or about 44%. We would like to create a confidence interval for this estimate. Our first step is to estimate the standard error with = 0.44 using: Because p is unknown and the standard error is going to be used for a confidence interval, use in place of p in the formula. What is the SE for this estimate?

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