Over the past three years, Shoprite Supermarket has observed the following distribution of modes of payment in the express lines: Cash (C) 41%, Cheques (Ck) 24%, Credit cards (D) 26%, and other (N)...

Extracted text: Over the past three years, Shoprite Supermarket has observed the following distribution of modes of payment in the express lines: Cash (C) 41%, Cheques (Ck) 24%, Credit cards (D) 26%, and other (N) 9%. In an effort to make express checkout more efficient, Shoprite has just begun offering a discount for cash payment in the express checkout line. The table below presents the distribution of modes of payment for a sample of 500 express-line customers after the discount went into effect. Suppose you must test the hypothesis at 10% level of significance that the distribution of modes of payment in the express checkout line changed after the discount went into effect. Mode of payment Cash Checks Credit cards Other Number of customers 240 104 111 45 The expected frequencies for all mode of payment will be: O a) 205, 120, 130 and 45 O b) 120, 130, 115 and 45 O c) 205. 102, 130 and 40 O d) 130, 205, 45 and 115