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A market researcher for an automobile company suspects differences in preferred

ID: 3160392 • Letter: A

Question

A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. Use Table 3.


Gender of Automobile Buyer








Does your conclusion suggest that the company should target advertisements differently for males versus females?

Gender of Automobile Buyer

     Color     Male Female      Silver 452 293      Black 537 294      Red 494 364

Explanation / Answer

a) Option I.

b) at df=2 [df=(r-1)(c-1)] and alpha=0.01, the critical X^2 is 9.210.

c)

d1-Option III (Test statistic do not fall in critical region, do not reject H0)

d-2 No

Obs Expe (Obs-Exp)^2/Exp 452 453.9[(745*1483)/2434] 0.0081[(452-453.9)^2/453.9] 293 291.1 0.0126 537 506.3 1.8595 294 324.7 2.8998 494 522.8 1.5830 364 335.2 2.4685 8.831
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