QUESTION 10 Provide an appropriate response. A candidate for state representative of a certain state claims to be fa voters. If a hypothesis test is performed, how should you interpreta hypothesis? There is sufficient evidence to reject the claim p =0.5. O There is not sufficient evidence to support the claim p = 0.5. O There is sufficient evidence to support the claim p = 0.5. O There is not sufficient evidence to reject the claim p = 0.5.

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### Question 10

**Provide an appropriate response.**

A candidate for state representative of a certain state claims to be favored by more than half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

- O There is sufficient evidence to reject the claim p = 0.5.
- O There is not sufficient evidence to support the claim p = 0.5.
- O There is sufficient evidence to support the claim p > 0.5.
- O There is not sufficient evidence to reject the claim p = 0.5.

**Explanation:**
- **Statistical Hypothesis Testing**: In this context, the null hypothesis (H0) typically asserts that the true proportion of voters favoring the candidate is 50% (p = 0.5). The alternative hypothesis (H1) would be that more than 50% of voters favor the candidate (p > 0.5).
- **Rejection of Null Hypothesis**: If the null hypothesis is rejected, it means that there is enough statistical evidence to support the alternative hypothesis. Therefore, if the decision is to reject the null hypothesis, it is appropriate to interpret this as "There is sufficient evidence to support the claim p > 0.5."
Transcribed Image Text:### Question 10 **Provide an appropriate response.** A candidate for state representative of a certain state claims to be favored by more than half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? - O There is sufficient evidence to reject the claim p = 0.5. - O There is not sufficient evidence to support the claim p = 0.5. - O There is sufficient evidence to support the claim p > 0.5. - O There is not sufficient evidence to reject the claim p = 0.5. **Explanation:** - **Statistical Hypothesis Testing**: In this context, the null hypothesis (H0) typically asserts that the true proportion of voters favoring the candidate is 50% (p = 0.5). The alternative hypothesis (H1) would be that more than 50% of voters favor the candidate (p > 0.5). - **Rejection of Null Hypothesis**: If the null hypothesis is rejected, it means that there is enough statistical evidence to support the alternative hypothesis. Therefore, if the decision is to reject the null hypothesis, it is appropriate to interpret this as "There is sufficient evidence to support the claim p > 0.5."
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