Question

7. A food processing company is considering the marketing of a new product. The marketing would be profitable if more than 20% of consumers would be willing to try this new product. Among 42 randomly chosen consumers, 9 said that they would purchase the new product and give it a try. (a) Set up the appropriate null and alternative hypotheses. (b) Carry out a test at level ? = 0.01 and report the p-value. Is there evidence that the marketing would be profitable?

          7. A food processing company is considering the marketing of a new product. The marketing would be profitable if more than 20% of consumers would be willing to try this new product. Among 42 randomly chosen consumers, 9 said that they would purchase the new product and give it a try.
(a) Set up the appropriate null and alternative hypotheses.
(b) Carry out a test at level ? = 0.01 and report the p-value. Is there evidence that the marketing would be profitable?

7. A food processing company is considering the marketing of a new product. The marketing would be profitable if more than 20% of consumers would be willing to try this new product. Among 42 randomly chosen consumers, 9 said that they would purchase the new product and give it a try.
(a) Set up the appropriate null and alternative hypotheses.
(b) Carry out a test at level ? = 0.01 and report the p-value. Is there evidence that the marketing would be profitable?

Added by Micheal S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

06/08/2023

Step 1

Let p be the proportion of consumers who would be willing to try the new product. We want to test if p > 0.20. The null and alternative hypotheses are: H0: p = 0.20 (null hypothesis) H1: p > 0.20 (alternative hypothesis) Show more…

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7. A food processing company is considering the marketing of a new product. The marketing would be profitable if more than 20% of consumers would be willing to try this new product. Among 42 randomly chosen consumers, 9 said that they would purchase the new product and give it a try. (a) Set up the appropriate null and alternative hypotheses. (b) Carry out a test at level ̑ = 0.01 and report the p-value. Is there evidence that the marketing would be profitable?