A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 278persons, the following data was compiled. Can we conclude that brand perception is dependent on age?
Age | Favorable | Unfavorable | Neutral | Total |
---|---|---|---|---|
18-30 | 50 | 15 | 17 | 82 |
30-45 | 45 | 17 | 16 | 78 |
Over 45 | 72 | 20 | 26 | 118 |
Total | 167 | 52 | 59 | 278 |
a. Find the value of the test statistic. Round your answer to three decimal places.
b. Find the degrees of freedom associated with the test statistic for this problem.
c. Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.
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