Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing291 persons, the following data was compiled. Can we conclude that brand perception is dependent on age?

age	favorable	unfavorable	neutral	total
18-30	64	20	23	107
30-45	49	14	18	81
over 45	61	20	22	103
total	174	54	63	291

state the null and alternative hypothesis

Find the expected value for the number of participants who are 18-30 years old and have a favorable perception of the brand. Round your answer to one decimal place.

Find the expected value for the number of participants who are 30-45 years old and have a unfavorable perception of the brand. Round your answer to one decimal place.

Find the value of the test statistic. Round your answer to three decimal places

Find the degrees of freedom associated with the test statistic for this problem.

Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.

Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.

State the conclusion of the hypothesis test at the 0.01 level of significance

Answer 1

Since chi square < 13 .277

We reject the null hypothesis.

We can conclude that the brand perception is dependent of age.