reported on the resuits of an oprion poll in which adults were asked what one th

Question

reported on the resuits of an oprion poll in which adults were asked what one thing they are most·kely to do when they are home sick with a cold or the nu inthe survey, 62% said that they are Assuming a sample sue of 1,000 for ms pol, construct a 90% confidence rterval tor the true percentage of al adults who would choose to sleep when they are at home sick The 90% cortidence merval is Round to the nearest hundredth as needed) b.rthe true percentage of aduts aho would choose to sleep when they are at home sick 71%, would you be surprsen No

Explanation / Answer

Solution

(a) Given that sample size, n = 1000 and p =0.62

90% Confidence interval : (0.62+-1.6449((0.62)(0.38)/1000)0.5

= (0.595,0.645)

(b) Yes, because the confidence interval does not contain 71%

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