Answered: A few years ago, a cola manufacturer…

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

A few years ago, a cola manufacturer invited New Zealand consumers to take a blind taste test. Consumers were asked to decide which of two sodas, Brand 1 or Brand 2, they preferred. The manufacturer was interested in determining what factors played a role in people's taste preferences. One of the factors studied was which part of New Zealand the consumers lived in, and for this purpose the manufacturer divided consumers into South Islanders and North Islanders.

If the true consumer population proportion of North Islanders who prefer Brand 1 is p_N and the true consumer population proportion of South Islanders who prefer Brand 1 is p_S, what null and alternative hypotheses should be used to test whether a larger proportion of North Islander consumers than South Islander consumers prefer Brand 1?

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Select one:

a.H₀ : p_N - p_S > 0, H_a : p_N - p_S = 0

b.H₀ : p_N - p_S = 0, H_a : p_N - p_S ≠ 0

c.H₀ : p_N - p_S = 0, H_a : p_N - p_S ≥ 0

d.H₀ : p_N - p_S = 0, H_a : p_N - p_S > 0

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