What must be true about the sampling method and the values of p and n in...

What must be true about the sampling method and the values of p and n in order to construct a confidence interval for a proportion? [3 bullets]
Why is 0.5 used in place of p when determining the minimum sample size necessary for a proportion confidence interval? [2 sentences]
Why should you be wary of surveys that do not report a margin of error? [2 sentences]
Why is √pq/n used in the margin of error formula? Where does it come from? [3 sentences] Please make sure to answer question 4 because that is the one that I have the most difficulties with.Thank you!

Expert Solution

Answer:-

Given That:-

What must be true about the sampling method and the values of p and n in order to construct a confidence interval for a proportion? [3 bullets] Why is 0.5 used in place of p when determining the minimum sample size necessary for a proportion confidence interval? [2 sentences] Why should you be wary of surveys that do not report a margin of error? [2 sentences] Why is √pq/n used in the margin of error formula? Where does it come from?

Given,

Conslusion:

For sampling method with vaues of p and n, each sample should include at least 10 success and 10 failures.

When the value of p is not given p is usally estimated with 0.5, as it give the sample size which is enough to consruct a reliable confidence interval.

If margin of error is not present, then it is difficult to understand the reliability of the data, and also difficult to conclude that the estimates are proper or not.

The margin of error for the test is,

For proportion test, the test statistic follows normal distribution. Thus,

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orchestra answered 1 year ago

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