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In a survey of 1029 adults, a poll asked, \"Are you worried or not worried about

ID: 3320649 • Letter: I

Question

In a survey of 1029 adults, a poll asked, "Are you worried or not worried about having enough money for retirement?" Of the 1029 surveyed, 628 stated that they were worried about having enough money for retirement. Construct a 99% confidence interval for the proportion of adults who are worried about having enough money for retirement A 99% confidence interval for the proportion of adults who are worried about having enough money for retirement is ( (Use ascending order. Round to four decimal places as needed.)

Explanation / Answer

p is 628/1029=0.61

N is 1029

z for 99% confidence is 2.576

thus lower bound is p-z*sqrt(p*(1-p)/N)= 0.61-2.576*sqrt(0.61*(1-0.61)/1029)=0.5708

upper bound is p+z*sqrt(p*(1-p)/N)= 0.61+2.576*sqrt(0.61*(1-0.61)/1029)=0.6492

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