Answered: State the null and alternative…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a head-to-head taste test of store-brand foods versus national brands, a company found that it was hard to find a taste difference between the two. If the national brand is indeed better than the store brand, it should be judged as better more than 50% of the time. (Let p be the probability that the national brand is judged to be better than the store brand.)

a) State the null and alternative hypotheses to be tested. Is this a one- or a two-tailed test?

b) Suppose that of the 50 food categories used for the taste test, the national brand was found to be better than the store brand in seven categories. Use this information to test the hypothesis in part (a) with ? = 0.01.

Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

c) What practical conclusions can you draw from the results?

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