The proportion of public accountants who have changed companies within the last

Question

The proportion of public accountants who have changed companies within the last three years is to be estimated within 4%. The 90% level of confidence is to be used. A study conducted several years ago revealed that the percent of public accountants changing companies within three years was 21. (Use z Distribution Table) (Round the z-values to 2 decimal places. Round up your answers to the next whole number.) a. To update this study, the files of how many public accountants should be studied? b. How many public accountants should be contacted if no previous estimates of the population proportion are available?

Explanation / Answer

here margin of error E =0.04

for 90% CI, z=1.645

p=0.21

a) sample size =p(1-p)(Z/E)2 =281

b) for no estimate of p, we consider p=0.5

hence sample size =423

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