An office administrator for a physician is piloting a new "no-show" fee to attempt to deter some of the numerous patients each month that do not show up for their scheduled appointments. However, the administrator wants the majority of patients to feel that the fee is both reasonable and fair. She administers a survey to 34 randomly selected patients about the new fee, out of which 23 respond saying they believe the new fee is both reasonable and fair. Test the claim that more than 50% of the patients feel the fee is reasonable and fair at a 2.5% level of significance.

a.Calculate the test statistic.

b.Determine the critical value(s) for the hypothesis test.

c.Conclude whether to reject the null hypothesis or not based on the test statistic.