In: Statistics and Probability
A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 265265 persons, the following data was compiled. Can we conclude that brand perception is dependent on age?
Age | Favorable | Unfavorable | Neutral | Total |
---|---|---|---|---|
1818-3030 | 6060 | 2020 | 1717 | 9797 |
3030-4545 | 5050 | 1616 | 1616 | 8282 |
Over 4545 | 5252 | 1818 | 1616 | 8686 |
Total | 162162 | 5454 | 4949 | 265265 |
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Step 1 of 8:
State the null and alternative hypotheses.
Step 2 of 8:
Find the expected value for the number of participants who are 1818-3030 years old and have a favorable perception of the brand. Round your answer to one decimal place.
Step 3 of 8:
Find the expected value for the number of participants who are 3030-4545 years old and have a favorable perception of the brand. Round your answer to one decimal place.
Step 4 of 8:
Find the value of the test statistic. Round your answer to three decimal places.
Step 5 of 8:
Find the degrees of freedom associated with the test statistic for this problem.
Step 6 of 8:
Find the critical value of the test at the 0.0250.025 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 0.0250.025 level of significance.
Step 8 of 8:
State the conclusion of the hypothesis test at the 0.0250.025 level of significance.
please answer ASAP