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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

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.