A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks. Construct the 98% confidence interval for the true population proportion of all New York students who favor year round school.

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

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 z-score that has a p-value of .

A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks.

This means that

98% confidence level

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

The lower limit of this interval is:

The upper limit of this interval is:

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

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