Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 397persons, the following data was compiled. Can we conclude that brand perception is dependent on age?

Age	Favorable	Unfavorable	Neutral	Total
18-3030	89	34	29	152
30-4545	75	27	25	127
Over 445	70	22	26	118
Total	234	83	80	397

Step 8 of 8 :  

State the conclusion of the hypothesis test at the 0.05 level of significance.

answer choices:

  There is significant evidence that brand perception and age are related.
There is not significant evidence that brand perception and age are related.

Answer 1

The statistical software output for this problem is:

Contingency table results:

Rows: Age
Columns: None

	Favorable	Unfavorable	neutral	Total
18-30	89	34	29	152
30-45	75	27	25	127
Over 45	70	22	26	118
Total	234	83	80	397

Chi-Square test:

Statistic	DF	Value	P-value
Chi-square	4	0.76692207	0.9428

From the above output:

P value is very high so there is not significant evidence that brand perception and age are related.

Option B is correct.