Question

A recent survey showed that 65% of U.S. employers were likely to require higher employee contributions...

A recent survey showed that 65% of U.S. employers were likely to require higher employee contributions for health care coverage. Suppose the survey was based on a sample of 700 companies. Find the 80% confidence interval for the proportion of all companies likely to require higher employee contributions for health care coverage. Find the left endpoint and the right endpoint. Carry all decimals until you reach the final answer. Then when you reach the final answer round to 4 decimals.

Math   Statistics-And-Probability   
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Answer #1

Proportion is given by

Sample size

Corresponding z-statistics is given by

We know,

So, left endpoint is 0.6269 and right endpoint is 0.6731 and hence 80% confidence interval is (0.6269, 0.6731).

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