A dentist wondered if his appointments were distributed evenly from Monday to Friday each week. He took
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Question:
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 | 100 | 116 | 116 | 93 | 75 |
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 1% 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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