The irs randomly selected 2950 tax returns for audit and, Ask an Expert

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The IRS randomly selected 2950 tax returns for audit and discovered that 1900 of them had serious errors. The sample is larger so that sample classical confidence interval for p may be used below.

a) What was the sample proportion of tax returns that had erious errors?

b) What is the z(? / 2) critical value that would be used to create a 98% confidence interval for the true proportion of tax returns with serious errors?

c) Construct a large sample 98% classical confidence interval for the true proportion of tax returns with serious errors.

d) What is the smallest sample size that would guarantee that the 98% confidence interval for the true proportion of tax with serious errors would have length .01 or less?

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Category:- Statistics and Probability
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