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Compute a confidence interval for the proportion of all depressed individuals taking the drug who find relief

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A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant drug who find relief. A random sample of 275 individuals who had been taking the drug is questioned; 222 of them found relief from depression. Based upon this, compute a 95% confidence interval for the proportion of all depressed individuals taking the drug who find relief.

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

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

Using formula, this solution goes through the steps required to determine the confidence interval of the proportion of depressed individuals who find relief from the drug, including the upper and lower limit of the interval.

Solution Preview

A 95% confidence interval is calculated using the following formula:

where p-hat is your percentage, n is the number of cases, and 1.96 is the critical value of the z-distribution. You use the z-distribution (instead of the t-distribution) when dealing with ...

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