Q1) Market research study was performed to compare 3 different brands of antiperspirant. Results of study are summarized below. Use a 5% level of significance and test claim that opinion is independent of brand.
|
|
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
|
1) What is the value of the sample test statistic?
i) x2 =19.00
ii) x2=9.49
iii) F = 0.10
iv) x2=11.91
2) What is your conclusion?
i) Opinion and Brand are independent
ii) Opinion and Brand are not independent
ii) Cannot determine