Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 342 persons, the following data was compiled. Can we conclude that brand perception is dependent on age? Age Favorable Unfavorable Neutral Total 18-30: 67 21 22 110

30-45: 55 20 18 93

Over 45 82 29 28 139

Total 204 70 68 342

Copy Data Step 2 of 8 : Find the expected value for the number of particpants who are 18-30 years old and have a favorable perception of the brand. Round your answer to one decimal place.

Answer 1

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Below is the contingency table .

Row	Col	fo	fe	fo - fe	(fo - fe)^2	(fo - fe)^2/fe
1	1	67	65.61404	1.385965	1.9208987	0.029275729
2	1	55	55.47368	-0.47368	0.2243767	0.004044742
3	1	82	82.91228	-0.91228	0.8322561	0.01003779
1	2	21	22.51462	-1.51462	2.2940734	0.10189261
2	2	20	19.03509	0.964912	0.9310557	0.048912604
3	2	29	28.45029	0.549708	0.3021784	0.010621277
1	3	22	21.87135	0.128655	0.0165521	0.000756794
2	3	18	18.49123	-0.49123	0.241305	0.013049702
3	3	28	27.63743	0.362573	0.1314593	0.004756566
					Sum	0.223347816

Conclusion : Both the variables i.e. age group and brand perception of products are independent.

Below is the minitab output.