A market researcher believes that brand perception of one of the company\'s prod

Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 307 persons, the following data was compiled. Can we conclude that brand perception is dependent on age? Age Favorable Unfavorable Neutral Total 18-30 67 3045 50 24 14 21 59 20 111 16 80 26 6 62 307 Previous Step Answers: Over 4569 H brand perception and age are independent Total186 H: brand perception and age are dependent n, , 1. I ) = 67.3 Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places. E( n, )-23.4 3, 3 Answer How to enter your answer Previous Step Answers Table of Expected Values

Explanation / Answer

applying chi square test of independence:

from above chi square test statistic =1.149

Observed O favourable unfavourable Neutral Total 18-30 67 24 20 111 30-45 50 14 16 80 over 45 69 21 26 116 Total 186 59 62 307 Expected E=rowtotal*column total/grand total favourable unfavourable Neutral Total 18-30 67.251 21.332 22.417 111 30-45 48.469 15.375 16.156 80 over 45 70.280 22.293 23.427 116 Total 186 59 62 307 chi square =(O-E)^2/E favourable unfavourable Neutral Total 18-30 0.0009 0.3336 0.2606 0.595 30-45 0.0484 0.1229 0.0015 0.173 over 45 0.0233 0.0750 0.2827 0.381 Total 0.073 0.532 0.545 1.149

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