A random sample of 275 individuals working in a large city indicated that 82 are dissatisfied with their working conditions. Based upon this, compute a 99% confidence interval for the proportion of all individuals in this city who are dissatisfied with their working conditions. Then find the lower limit and upper limit of the 99% confidence interval.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A random sample of 275 individuals working in a large city indicated that 82 are dissatisfied with their working conditions. Based upon this, compute a 99% confidence interval for the proportion of all individuals in this city who are dissatisfied with their working conditions. Then find the lower limit and upper limit of the 99% confidence interval.

 

 

 

Expert Solution
Step 1: Given information

Sample size n = 275

Number of individuals dissatisfied with their working conditions x = 82

Significance level α = 0.01

Sample proportion of all individuals in this city who are dissatisfied with their working conditions is-

p with hat on top equals x over n
p with hat on top equals 82 over 275 equals 0.2982

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