A market research study was conducted to compare three different brands of antip
ID: 3433231 • Letter: A
Question
A market research study was conducted to compare three different brands of antiperspirant. The results of the study are summarized below. Use a 5% level of significance and test the claim that opinion is independent of brand. Use these data to answer questions 12 and 13.
Brand
Opinion
A
B
C
Total
Excellent
29
37
50
116
Satisfactory
83
65
83
231
Unsatisfactory
18
9
6
33
Total
130
111
139
380
What is your conclusion?
A.Opinion and brand are independent
B.Opinion and brand are not independent
C.Cannot determine
Brand
Opinion
A
B
C
Total
Excellent
29
37
50
116
Satisfactory
83
65
83
231
Unsatisfactory
18
9
6
33
Total
130
111
139
380
Explanation / Answer
expected: contingency table
A B C
1 39.7 33.9 42.4
2 79.0 67.5 84.5
3 11.3 9.64 12.1
chi-square = 11.9
degrees of freedom = 4
probability = 0.018
-------------------------------------------------------------
What is the value of the sample test statistic?
Answer: D. X2 = 11.91
------------------------------------------------------------
What is your conclusion?
Answer: B. Opinion and brand are not independent
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