Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 278 persons, 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

Step 1 of 8 :  State the null and alternative hypothesis.

Answer

H0: brand perception and age are dependent

Ha: brand perception and age are independent

Can you please answer from Step 1 to 8? Thank you

H0: brand perception and age are independent

Ha: brand perception and age are dependent

Answer 1

H0: Brand perception and age are independent.

Ha: Brand perception and age are dependent.

Reason:

We want to test whether brand perception is dependent on age.

To check this we use test for independence of attributes ( chi square test)

Under this test the null hypothesis is that the 2 attributes are independent.(Or there is no relationship between them)

And the alternative hypothesis is the 2 attributes are dependent.(or there is a relationship between them)

(Here attributes are Brand perception and Age)