A market researcher believes that brand perception of one of thecompany's products may vary between different groups. Afterinterviewing 401persons, the following data was compiled. Can weconclude that brand perception is dependent on age?
| Age | Favorable | Unfavorable | Neutral | Total |
|---|
| 18-30 | 66 | 16 | 16 | 98 |
|---|
| 30-45 | 70 | 42 | 42 | 154 |
|---|
| Over 45 | 98 | 24 | 27 | 149 |
|---|
| Total | 234 | 82 | 85 | 401 |
|---|
Step 1 of 8: State the null and alternative hypothesis.
Step 2 of 8: Find the expected value for the number ofparticpants who are 18-30 years old and have a favorable perceptionof the brand. Round your answer to one decimal place.
Step 3 of 8: Find the expected value for the number ofparticpants who are 30-45 years old and have a favorable perceptionof the brand. Round your answer to one decimal place.
Step 4 of 8: Find the value of the test statistic. Round youranswer to three decimal places.
Step 5 of 8: Find the degrees of freedom associated with thetest statistic for this problem.
Step 6 of 8: Find the critical value of the test at the 0.1level of significance. Round your answer to three decimalplaces.
Step 7 of 8: Make the decision to reject or fail to reject thenull hypothesis at the 0.1 level of significance.
Make the decision to reject or fail to reject the nullhypothesis at the 0.05 level of significance.
Step 8 of 8: State the conclusion of the hypothesis test at the0.1 level of significance.
State the conclusion of the hypothesis test at the0.05 level of significance.
There is significant evidence that brand perception and age arerelated.
or
There is not significant evidence that brand perception and ageare related.
