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Suppose a credit card company would like to determine if the type of credit card influences the payment status of a customer's account. The following table indicates the card type for 200 randomly selected customers, along with the number of days their payments were overdue. Complete parts a. through c. below.
Card Type
| Days over due | Standard | Gold | Platinum |
| 30 days or less | 75 | 41 | 31 |
| 31-60 days | 10 | 9 | 8 |
| 61 days or more | 12 | 8 | 6 |
a. Using a=0.10, perform a chi-square test to determine if the credit card type and payment status are independent of one another.
Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below.
A. Ho: The variables Standard, Gold, Platinum, 30 days or less, 31-60 days, and 61 days or more are independent.
H1: None of the variables are independent.
B. H0: Credit card type and payment status are independent of one another.
H1: Credit card type and payment status are not independent of one another.
C. H0: Credit card type and payment status are not independent of one another.
H1: Credit card type and payment status are independent of one another.
Find the chi-square statistic.
Using alpha = 0.10, find the chi-square critical value, chi-square.
Determine the result of the test.
What conclusions can be amde based on these results?
Determine the p-value using technology and interpret its meaning.
Interpret the meaning of the p-value.