# Confidence Intervals

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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

1. What is the lower limit of the 95% confidence interval?

What is the upper limit of the 95% confidence interval?

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##### Solution Summary

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

1. What is the lower limit of the 95% confidence interval?

What is the upper limit of the 95% confidence interval?

##### Solution Preview

Applying the general formula for a confidence interval, the confidence interval for a proportion is:

<br>p +- z * SE

<br>where p is the proportion in the ...

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