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Business / Statistics for Business and Economics 12 / Chapter 6 / Problem 124SE

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

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IRS answers to gift tax questions. According to estimates

Chapter 6, Problem 124SE

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QUESTION:

IRS answers to gift tax questions. According to estimates made by the General Accounting Office, the Internal Revenue Service (IRS) answered 18.3 million telephone inquiries during a recent tax season, and 17% of the IRS offices provided wrong answers. These estimates were based on data collected from sample calls to numerous IRS offices. How many IRS offices should be randomly selected and contacted in order to estimate the proportion of IRS offices that fail to correctly answer questions about gift taxes with a 90% confidence interval of width .06?

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QUESTION:

IRS answers to gift tax questions. According to estimates made by the General Accounting Office, the Internal Revenue Service (IRS) answered 18.3 million telephone inquiries during a recent tax season, and 17% of the IRS offices provided wrong answers. These estimates were based on data collected from sample calls to numerous IRS offices. How many IRS offices should be randomly selected and contacted in order to estimate the proportion of IRS offices that fail to correctly answer questions about gift taxes with a 90% confidence interval of width .06?

ANSWER:

Solution

Step 1 of 1

We have to find how many IRS officeses should be selected

For 90% confidence $\alpha{}=0.1\ and\ \alpha{}/2=0.05$

From the tables $z{\ }_{0.05}=1.645$

For a width of 0.06

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