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Chapter 8: Problem 104

Suppose you wanted to test the claim that the majority of U.S. voters are satisfied with the government response to the opioid crisis. State the null and alternative hypotheses you would use in both words and symbols.

Short Answer

Expert verified
The null hypothesis (H0) in words and symbols would be: 'Half or less than half of the U.S. voters are satisfied with the government's response to the opioid crisis', in symbols, H0: P 鈮� 0.50. The alternative hypothesis (Ha) in words and symbols would be: 'More than half of the U.S. voters are satisfied with the government's response to the opioid crisis', in symbols, Ha: P > 0.50.

Step by step solution

01

Formulate the Null Hypothesis (H0)

The null hypothesis is always the base position or the position of no change or difference. Here, since there is a claim of a 'majority' being satisfied, the null hypothesis would be that half or less than half of U.S. voters are satisfied with the government response. In symbols, this becomes: H0: P 鈮� 0.50, where P is the proportion of U.S. voters satisfied with the government's response.
02

Formulate the Alternative Hypothesis (Ha)

The alternative hypothesis is the statement that directly contradicts the null hypothesis. In this case, it would be that more than half of U.S. voters are satisfied with the government's response, which is essentially the belief that is claimed. In symbols, this becomes: Ha: P > 0.50.

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Most popular questions from this chapter

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