Because of the complex nature of the U.S.income tax system,many people have questions for the Internal Revenue Service (IRS) .Yet,an article published by the Detroit Free Press entitled "Assistance: IRS Help Centers Give the Wrong Information" discusses the propensity of IRS staff employees to give incorrect tax information to tax-payers who call with questions.Then IRS Inspector General Pamela Gardiner told a Senate subcommittee that "the IRS employees at 400 taxpayer assistance centers nationwide encountered 8.5 million taxpayers face-to-face last year.The problem: When inspector general auditors posing as taxpayers asked them to answer tax questions,the answers were right 69% of the time." Suppose an independent commission was formed to test whether the 0.69 accuracy rate is correct or whether it is actually higher or lower.The commission has randomly selected n = 180 tax returns that were completed by IRS assistance employees and found that 105 of the returns were accurately completed.
State the appropriate null and alternative hypotheses.
A) H0 : p = 0.69 Ha : p ≠ 0.69
B) H0 : p = 0.58 Ha : p ≠ 0.58
C) H0 : p > 0.69 Ha : p ≤ 0.69
D) H0 : p > 0.58 Ha : p ≤ 0.58
Correct Answer:
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