A general manager of the Mega Mart supermarket chain is studying the method of payment used by the customers at two of its city stores. At the chain’s downtown store last week, a sample of 400 patrons was randomly selected, and each patron’s method of payment was identified. Is there sufficient evidence to dispute the claim, using a 0.001 level of significance, that all methods of payment had an equal likelihood of occurrence? The multinomial sample results were as follows:
Cash
Check
Credit Card
Debit Card
Food Stamps
Observed
Frequency
119
107
71
55
48
Given that all five methods of payment are claimed to have the same likelihood of occurrence, their respective hypothesized proportions are 20%or 0.20.
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