Eliana wants to estimate the number of out of state visitors at a national park. She surveys 200 visitors and finds that 83 of them are from out of state. Identify the values needed to calculate a confidence interval at the 90% confidence level. Then find the confidence interval.

The 90% confidence interval for the proportion of out of state visitors at a national park is (0.3577, 0.4723).

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 .

For this problem, we have that:

90% confidence level

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

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of out of state visitors at a national park is (0.3577, 0.4723).

step-by-step explanation:

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about 168 miles

step-by-step explanation: