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; 231 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. Then find the lower limit and upper limit of the 95% confidence interval.

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; 231 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. Then find the lower limit and upper limit of the 95% confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

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;

231

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. Then find the lower limit and upper limit of the

95%

confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)