WhenBank of Barcelonaissues debit cards to their customers, they let the customer choose the color of the card, either green or blue. Out of the first 160 customers, 72 were female and 88 were male. Out of the 72 female customers, 48 chose blue and the rest chose green. Out of the 88 male customers 66 chose blue and the rest chose green.

Treat the 160 first customers as a simple random sample. Test at 1% level of significance whether gender (male/female) is independent of card color choice.

a)Find the critical value of the test.Choose the alternative closest to your answer.

(A) 3.841

(B) 5.991

(C) 6.635

(D) 9.210

(E) 13.277

b)Find the value of the test variable.Choose the alternative closest to your answer.

(A) 1.12

(B) 1.34

(C) 1.46

(D) 1.58

(E) 1.70