Question

he operations manager of a company that manufactures a certain product wants to determine whether there are any differences in the choice of brand of this product among the three political groups. She randomly selects 518 people and checks the brand they like. The data can be summarized by the accompanying two-way table. Test at the 5% significance level that political group and brand are independent.

	Brand 1	Brand 2	Brand 3	Total
Dem	106	124	11	241
Rep	67	85	9	161
Ind	37	72	7	116
Total	210	281	27	518

Answer 1

Claim :- Test at the 5% significance level that political group and brand are independent.

	Brand 1	Brand 2	Brand 3	Total
Dem	106	124	11	241
Rep	67	85	9	161
Ind	37	72	7	116
Total	210	281	27	518

Null and alternative hypothesis

Ho :- political group and brand are independent.

Ha :- political group and brand are dependent.

Conclusion :- we do not reject Ho at 0.05 level of significance there is sufficient evidence to claim that political group and brand are independent.