A sociologist is studying the prevalence of crime in one major city. In a sample of 200 randomly selected residents, 58 say that they have been victimized by a criminal. Based on this sample, construct a 99% confidence interval for the proportion of all residents in this city who have been victimized by a criminal. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X 3

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A sociologist is studying the prevalence of crime in one major city. In a sample of 200 randomly selected residents, 58 say that they have been victimized by a
criminal. Based on this sample, construct a 99% confidence interval for the proportion of all residents in this city who have been victimized by a criminal. Then
find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
X
3
Transcribed Image Text:A sociologist is studying the prevalence of crime in one major city. In a sample of 200 randomly selected residents, 58 say that they have been victimized by a criminal. Based on this sample, construct a 99% confidence interval for the proportion of all residents in this city who have been victimized by a criminal. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X 3
Expert Solution
Step 1: Given that

Sample size n=200

Favorable cases x=58

Sample proportion p^=x/n

=58/200

=0.29

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