Answer Happy

Contingency table Х Days Overdue 30 days or less 31-60 days 61 days or more Standard 78 13 12 Card Type Gold 36 10 7 Platinum 30 8 6 P Print Done

Suppose a credit card company would like to determine 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 e below em click the icon to view the contingency table, a: Using a 0.025, perform a chi-square test to determine if the credit card type and payment status are independent of one another, Identity the nul and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below O A Ho: Credit card type and payment status are independent of one another HCredit card type and payment status are not independent of one another O 8. Ho The variables Standard, Gold Platinum 30 days or loss, 31-60 days, and 61 days or more are independent HeAt least one of the variables is not independent OC. Ho: The variables Standard, Gold Platinum 30 days or less, 31-60 days, and 61 days or more are independent H None of the variables are independent. OD. Ho Credit card type and payment status are not independent of one another Hy Credit card type and payment status are independent of one another. Find the chi-square test statistio 72-(Round to two decimal places as needed.) Using a =0.025, find the chi-square critical value, za xå - (Round to wo decimal places as needed.) Determine the result of the test. The test statistic y? is the critical value x 80 b. What conclusions can be made based on these rosults? There is evidence to indicate that c. Determine the p-value using technology and interpret its meaning p-value = (Round to three decimal places as needed.) Interpret the meaning of the p-value The p-value is the probability of observing a as extreme or more extreme than the one observed under the assumption that the is true. A p-value less than the significance level a means that the V enough that the should be rejected. For this test the p-value is V = 0.025,50 There is evidence to indica that the is the