orthe flu inthe survey, 61% said that they are most Ikey to seep and 13% sadthat

Question

orthe flu inthe survey, 61% said that they are most Ikey to seep and 13% sadthat they would watch tolevision A hough the sample size as nt eported, t po aly opr on pols i dudo a proor nate y 100 randomty sete ted m por dents. a.Assumng a sample size of 1,00 for this pol, construct a 90% cofdence interval for the ive pero tage of all adits who would choose to sleep when they an at home OD The 90% condence interval is Round to the nearest hundredth as needed) b.Ifthe true percentage of adults who would choose to sleepwhen they are at home sick is 73%, would you be surprised? O Yes O No Click to select your arswerls) 8 9

Explanation / Answer

Ans:

Sample proportion for people who will choose to sleep=0.61

z value for 90% CI is 1.645

a)90% Confidence interval for p

=0.61+/-1.645*sqrt(0.61*(1-0.61)/1000)

=0.61+/-0.0254

=(0.5846, 0.6354)

or ( 58.46%, 63.54%)

b)Yes,we will be surprised,as 73% is not included within above CI.

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