13% of a sample of 200 students do not like ice cream. What is the 95% confidence interval to describe the total percentage of students who do not like ice cream?

The 95% confidence interval is (8.3%,17.7%), and the correct option is C.

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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 z-score that has a p-value of .

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13% of a sample of 200 students do not like ice cream.

This means that

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95% confidence level

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

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The lower limit of this interval is:

The upper limit of this interval is:

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As a percentage:

Thus, the 95% confidence interval is (8.3%,17.7%), and the correct option is C.

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