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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

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 Tuesday Wednesday Thursday Friday
Appointment Frequency 98 112 124 94 72

The dentist would like to use these results to conduct a 22 goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 2.5% level of significance.

Chi Square Distribution Table

a. Calculate the test statistic.

2=

Round to two decimal places if necessary

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

Fail to Reject

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