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 pN and the true consumer population proportion of South Islanders who prefer Brand 1 is pS, 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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