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A car insurance company would like to determine the proportion of accident claims covered by the...

A car insurance company would like to determine the proportion of accident claims covered by the company. According to a preliminary estimate 40% of the claims are covered. How large a sample should be taken to estimate the proportion of accident claims covered by the company if we want to be 90% confident that the sample percentage is within  2% of the actual percentage of the accidents covered by the insurance company?

Solutions

Expert Solution

z value for 90% = 1.64

p = 40% = 0.4

d = margin of error = 2% = 0.02

Hence, sample size, n = (z)2 p ( 1 – p ) / d2 = 1.642 x 0.4 x (1 - 0.4) / 0.022 =  1,614


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