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The conculsion ? Calculate the test statistic? Degree of freedom? So p-value of

ID: 3338096 • Letter: T

Question

The conculsion ?

Calculate the test statistic?

Degree of freedom?

So p-value of the test is?

The billing department of a national cable service company is conducting a study of how customers pay their monthly cable bills. The cable company accepts payment in person at a local office, by mail, by credit card, or by electronic funds transfer from a bank account. The cable company randomly sampled 400 customers to determine if there is a relationship between the customer's age and the payment method used. The accompanying sample results were obtained. Based on the sample data, can the cable company conclude that there is a relationship between the age of the customer and the payment method used? Conduct the appropriate test at the a 0.01 level of significance Click the icon to view the sample data Sample data Full data set Age of Customer Payment Method In Person By Mail By Credit Card By Funds Transfer 20-30 Over 50 31-40 67 34 41-50 71 16 13 29 25 23 Print Done

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Payment Method
Columns: None


Chi-Square test:

Hence,

Degrees of freedom = 9

Test statistic = 51.247 [Rounded to 3 decimal places; Please round it off as per the question says]

p - Value = 0

Conclusion: Reject Ho; Age of cutomer and payment method are related.

20-30 31-40 41-50 Over 50 Total In Person 9 12 11 13 45 By Mail 29 67 71 55 222 By Credit Card 25 18 5 7 55 By Funds Transfer 23 34 16 5 78 Total 86 131 103 80 400
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