A market researcher for an automobile company suspects differences in preferred

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.

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.

Explanation / Answer

b) degree of freedom =(rows-1)*(column-1) =(3-1)*(2-1) =2

for 2 df and 0.05 level criical value =5.99

c)

applying chi square test:

Test statistic =11.34

Observed Oi male female Total silver 490 284 774 black 548 309 857 red 491 374 865 Total 1529 967 2496 Expected Ei=row*column/total male female Total silver 474.137 299.863 774 black 524.981 332.019 857 red 529.882 335.118 865 Total 1529 967 2496 chi square =(Oi-Ei)2/Ei male female Total silver 0.5307 0.8392 1.370 black 1.0093 1.5959 2.605 red 2.8531 4.5112 7.364 Total 4.393 6.946 11.34

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