True proportion of tax returns


The irs randomly selected 2950 tax returns for audit and discovered that 1900 of them had serious errors. The sample is large enough so that the large sample classical confidence level for p may be used below.

a. What is the sample prportion that had serious errors?

b. What is the x(alpha/2) critical value that wouls be used to create a 97% confidence level for the true proportion of tax returns with serious errors?

c. Construct a large sample 97% classical confidence interval for true proprtio of with serious errors?

d. What is the smallest sample size garentee 97% , length 0.1 or less. Hint max value of p(1-p) when p=1/2

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Basic Statistics: True proportion of tax returns
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