Question

2110g Wang I 04/17/20 8:17 PM Homework: First Quarter -- Week Three Save 11 of 11 (9 complete) core: 0 of 2 pts .1.41 HW Score: 66.67%, 10 of 15 pts Question Help Weekday Weekend Total 270 The contingency table to the right shows counts of the types of gasoline bought during the week and during weekends. a) Find the value of chi-squared and Cramer's V for this table. (b) Interpret these values. What do these tell you about the association in the table? Premium Plus Regular Total 137 218 325 144 625 1220 499 a)x= (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

Answer 1

Eij = (ith row total * jth column total)/Grand total

A Total 2 Premium 3 Plus 4 Regular 5 Total B Weekday Weekend 159.5655738 110.4344262 192.0696721 132.9303279 369.3647541 255.6352459 721 499 124 10 OTE 1331 159.5655738 107 192.0696721 481 369.3647541 137 110.4344262 15 218 132.9303279 144 255.6352459 Total = (O-E)^2/E 4.422819366 37.67824996 33.74016603 6.390486498 54.44091828 48.75082105 185.4234612 17

2 Premium 3 Plus 4 Regular 5 Total B Weekday =(B5*D2)/D5 =B5*D3/D5 =B5*D4/D5 721 Weekend =C5*D2/D5 =C5*D3/D5 =C5*D4/D5 499 100 11 133 12 107 13 481 14 137 =B3 =B4 =C2 (O-E)^2/E =((A11-B112yB11 =((A12-B12) 2)B12 =((A13-B13) 2/B13 =((A14-B14) 2yB14 =((A15-B15) 2/B15 =((A16-B16)^2y/B16 =SUM(C11:C16) 15 218 16 144 =C4 Total = 17

pe 2 185.42 a) Therefore, (x = 185.42) (6) Cramer's V2 X / 0 QX V Mim (kr 1,0-1) 1 185.42/1220 V Min (1,2) 0. 3899 7 10.39 ] 2

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