Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 214 persons, the following data was compiled. Can we conclude that brand perception is dependent on age?

Age Favorable Unfavorable Neutral Total

18-30 45 17 15 77

30-45 40 13 15 68

Over 45 40 14 15 69

Total 125 44 45 214

Step 6 of 8 :  

Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.

Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.

Step 8 of 8: State the conclusion of the hypothesis test at the 0.01 level of significance.

Answer 1

Solution :

Results
	Category 1	Category 2	Category 3			Row Totals
Group 1	45  (44.98)  [0.00]	17  (15.83)  [0.09]	15  (16.19)  [0.09]			77
Group 2	40  (39.72)  [0.00]	13  (13.98)  [0.07]	15  (14.30)  [0.03]			68
Group 3	40  (40.30)  [0.00]	14  (14.19)  [0.00]	15  (14.51)  [0.02]			69
Column Totals	125	44	45			214  (Grand Total)

The chi-square statistic is 0.3005. The p-value is .989784. The result is not significant at p < .01.

6)

Degrees of freedom =(r-1)*(c-1) =4

Chisquare critical value =13.277

7)fail to reject the null hypothesis

8)There is no sufficient evidence for the claim that brand perception is dependent on age

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