9.73 An auditor for a government agency was assigned the task of evaluating reimbursement for office visits to physician

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9.73 An auditor for a government agency was assigned the
task
of evaluating reimbursement for office visits to physicians paid
by
Medicare. The audit was conducted on a sample of 75 reimbursements,
with the following results:
• In 17 of the office visits, there was an incorrect amount of
reimbursement.
• The amount of reimbursement was X = $93.70, S = $34.55.
a. At the 0.05 level of significance, is there evidence that the
population
mean reimbursement was less than $100?
b. At the 0.05 level of significance, is there evidence that
the
proportion of incorrect reimbursements in the population was
greater than 0.10?
c. Discuss the underlying assumptions of the test used in
(a).
d. What is your answer to (a) if the sample mean equals $90?
e. What is your answer to (b) if 15 office visits had
incorrect
reimbursements?