Beth wants to determine a 80 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. how large of a sample must she have to get a margin of error less than 0.04? [if no estimate is known for p, let p^ = 0.5]

We need to sample at least 256 high school students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The margin of error for the interval is:

80% confidence level

So , z is the value of Z that has a pvalue of , so .

How large of a sample must she have to get a margin of error less than 0.04?

We need a sample of at least n high school students, in which n is found when M = 0.04.

We use , since no estimate is know. So

We need to sample at least 256 high school students.

give more details

step-by-step explanation:

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