A dentist wondered if his appointments were distributed evenly from Monday to Friday each week. He took a random sample of 500 appointments and recorded which day of the week they were booked for. His results are:

Day

Monday FREQ 95

Tuesday FREQ 115

Wednesday FREQ 124

Thursday FREQ 91

Friday FREQ 75

The dentist would like to use these results to conduct a22goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 5% level of significance.

Calculate the test statistic. X2 = ?

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. REJECT OR FAIL TO REJECT