A market researcher for an automobile company suspects differences in preferred
ID: 3375828 • 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.
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
a)H0: Color preference is independent of gender; HA: Color preference is dependent on gender.
b)
degree of freedom =(row-1)*(column-1)=(2-1)*(3-1)=2
for 2 df and 0.01 level ; critical value =9.21
c)
applying chi square test:
Test statistic =7.20
Observed OBS silver black red Total male 490 537 492 1519 female 298 290 348 936 Total 788 827 840 2455 Expected Ei=?row*?column/?total silver black red Total male 487.565 511.696 519.739 1519 female 300.435 315.304 320.261 936 Total 788 827 840 2455 chi square =(Oi-Ei)2/Ei silver black red Total male 0.01 1.25 1.48 2.74 female 0.02 2.031 2.403 4.45 Total 0.03 3.28 3.88 7.197Related Questions
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