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A market researcher believes that brand perception of one of the company's products may vary between...

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 278278persons, the following data was compiled. Can we conclude that brand perception is dependent on age?

Age Favorable Unfavorable Neutral Total
1818-3030 5050 1515 1717 8282
3030-4545 4545 1717 1616 7878
Over 4545 7272 2020 2626 118118
Total 167167 5252 5959 278278

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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