An online site presented this question, \"Would the recent norovirus outbreak de

Question

An online site presented this question, "Would the recent norovirus outbreak deter you from taking a cruise?" Among the 34 comma 075 people who responded, 66 % answered "yes." Use the sample data to construct a 90 % confidence interval estimate for the proportion of the population of all people who would respond "yes" to that question. Does the confidence interval provide a good estimate of the population proportion? nothing less thanpless thannothing (Round to three decimal places as needed.)

Does the confidence interval provide a good estimate of the population proportion?

A. No, the responses are not independent.

B. Yes, all the assumptions for a confidence interval are satisfied.

C. Yes, the sample is large enough to provide a good estimate of the population proportion.

D. No, the sample is a voluntary sample and might not be representative of the population.

Explanation / Answer

Here z=1.645

p=0.66 and n=34075

Now WE=sqrt(p(1-p)/n)=0.003

Now E=z*se=0.004

Hence CI=P+/-E=0.66+/-0.004=(0.656,0.664)

C. Is correct answer

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