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An online site presented this? question, "Would the recent norovirus outbreak deter you from taking a?...

An online site presented this? question, "Would the recent norovirus outbreak deter you from taking a? cruise?" Among the 34,577 people who? responded,64?% answered?"yes." Use the sample data to construct a 95?% 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?

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Answer #1

The sample size is n = 34577

The proportion of population of all people who respond "yes" is p = 0.64

95% Confidence Interval for Population Proportion is

The 95% Confidence Interval is 0.635 < p< 0.645

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

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

Here voluntary sample means the sample includes only that respondents who are willing to answer the question through online site or only those respondents who are intrested in the particular topic. They might be not representative of the population. Therefore the Confidence Interval does not provide a good estimate of the population proportion.

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