Answer to Question #198536 in Statistics and Probability for Matthew Kayton

Question #198536

Construct a 90% confidence interval for the true proportion of all employees of Big Star Ltd who believe that they deserve a salary increase, given that 80 out of a sample of 130 employees said that they believe that they deserve a salary increase.


1
Expert's answer
2021-05-26T03:47:51-0400

We have given that,


n=130n = 130


p=80130=0.615p = \dfrac{80}{130} = 0.615


We know,


CI=p±zp(1p)nCI = p \pm z \sqrt{\dfrac{p(1-p)}{n}}


CI=0.615±1.6450.615×0.385130CI = 0.615 \pm 1.645\sqrt{\dfrac{0.615 \times 0.385}{130}}


CI=0.615±0.0070CI = 0.615 \pm 0.0070



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