7.18 An online site presented this question, \'Would the recent norovirus outbre

Question

7.18

An online site presented this question, 'Would the recent norovirus outbreak deter you from taking a cruise?' Among the

34 comma 295

people who responded,

69

%

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?

nothing

less than p less thannothing(Round to three decimal places as needed.

Explanation / Answer

An online site presented this question, 'Would the recent norovirus outbreak deter you from taking a cruise?' Among the34 comma 295people who responded,69%answered 'yes'. Use the sample data to construct a95%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?

0.685 < p   < 0.695 (Rounded to three decimal places as needed)

N=34295

P=0.69

Z value for 95% = 1.96

CI = p pm z* sqrt {(p*(1-p)/(n))}

CI = 0.69 pm 1.96* sqrt{(0.69*(1-0.69)/(34295))}

=( 0.685, 0.695)

95% confidence interval =(0.685, 0.695)

This confidence interval does not provide a good estimate of the population proportion since the sample is voluntary response and not random.

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