The design department has proposed 3 different package designs for the company’s product. The marketing manager believes the first design would be preferred twice as much as the second design and that...

The design department has proposed 3 different package designs for the company’s product. The marketing manager believes the first design would be preferred twice as much as the second design and that the second design would be three preferred times more than the third design. Market test results show that 111 people preferred the first design, 62 preferred the second, and 40 preferred the third design. Are these results consistent with the marketing manager’s appraisal of the relative preference for the 3 designs? Test at five per cent significance level.