This problem fits a multinomial experiment, not a goodness-of-fit test. The hypotheses would be something like the following:
Ho: There was no preference shown (equally distributed).
Ha: There was a preference shown (not equally distributed).
You can check out the assumptions of the two types of tests to determine the differences.
A salesman who is on the road visiting clients thinks that on average he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mondays, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays. He wonders if this evidence contradicts his belief in a uniform distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test..Can someone help me solve this question...
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