In a CNN/USA Today/Gallop poll conducted between October 13 and October 16, 2005

Question

In a CNN/USA Today/Gallop poll conducted between October 13 and October 16, 2005, 58% of the 1,012 people surveyed said they disapproved of the way George W. Bush was handling the war in Iraq. The 1,012 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 90% confidence interval for the population proportion.

A) We are 90% confident the proportion of adults polled who disapprove of President Bush's handling of the war in Iraq is between 55.45% and 60.55%.

B) We are 90% confident that the proportion of adults in the United States, aged 18 or older, who disapprove of President Bush's handling of the war in Iraq is between 55.45% and 60.55%

C) In 90% of all samples, the proportion of adults in the sample who disapprove of President Bush's handling of the war in Iraq will be between 55.45% and 60.55%.

D) The proportion of adults in the United States, aged 18 or older, who disapprove of President Bush's handling of the war in Iraq is between 55.45% and 60.55%.

Explanation / Answer

here for abvoe p=0.58 and n=1012

std error =(p(1-p)/n)1/2 =0.0155

for 90% CI ; z =1.645

hence 90% confidence interval =sample proportion -/+ z*std error = 0.5545 to 0.6055 ~ 55.45% to 60.55%

from above option B is correct

B) We are 90% confident that the proportion of adults in the United States, aged 18 or older, who disapprove of President Bush's handling of the war in Iraq is between 55.45% and 60.55%

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