Question

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, 536

people who​ responded, 63%

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?

__________<p< ________________

​(Round to three decimal places as​ needed.)

Math   Statistics-And-Probability   
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Answer #1

We have given,          
          
      
n=34,536      
Estimate for sample proportion
Level of significance is =1-0.90=0.1  
Z critical value(using Z table)=1.645

Confidence interval formula is          


=(0.626,0.634)  

Therefore,

0.626 < p < 0.634

yes, the confidence interval provide a good estimate of the population​ proportion.

  

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