Ages 30-39 Left Hand Right Hand Ambidextrous Total 15 Ages 40-49 Total 35 126 23

Question

Ages 30-39 Left Hand Right Hand Ambidextrous Total 15 Ages 40-49 Total 35 126 237 lowing data represent preferences for user interfaces of proposed tablet models, as different consumer focus groups. Observed Sample of 119 Consumers chosen by participants of four Group A Group B 12 15 10 Group C Group D Total Model 1 Model 2 Model 3 Model 4 Total 35 28 25 119 29 48 . The following data represent the favorite sports of adults living in various regions of the United States for a random sample of adults Observed Sample of 336 Adults Basketball Baseball Total Soccer Football 20 23 25

Explanation / Answer

Now, Let Expected values for the ith row/ jthcolumn be Eij

Total in the ith row be be Ri

Total in the jth column be Cj

N be the grand total = 119

Here R1 = 33 , R2 = 35 , R3 = 28 , R4 = 23

C1 = 29 , C2 = 48 , C3 = 17 , C4 = 25

Now we know Eij = (Ri * Cj)/N

Thus the expected values can be calculated

eg. For group B Model 3, it is in 3rd row/ 2nd column Thus E32 = 28*48/119 = 11.29

Similarly all other expected values are found and the contingency table is formed

Contingency table of Observed values Group A GroupB Group C Group D Total Model 1 8 12 4 9 33 Model 2 11 15 6 3 35 Model 3 6 10 3 11 28 Model 4 4 11 4 2 23 Total 29 48 17 25 119

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