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: Payment Method 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 3E: Write the sample space for the experiments in Exercise 3-8. A month of the year chosen for a...
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QUESTION 14

  1.             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:

     

    Payment Method

    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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