Consider the information above and in question 1. It is conjectured that the mean number of people attending all 2017 Veterans Day celebrations is 145, and of interest is to test this conjecture versus the alternative that the mean number of people attending all 2017 Veterans Day celebrations is different from 145 people To test the hypothesis, a simple random sample of 41 Veterans Day celebrations was selected and the number of people attending each was recorded. The mean number of people attending for this sample of 41 celebrations was 157, with a standard deviation of 23 people. The distribution of the data was bimodal. If appropriate, use this information to test the hypotheses stated in question 3 at the a= .05 level of significance. 3 Which of the following are the appropriate null and alternative hypothesis? 000 Ho:u= 145.Ha :<145 Ho: 145. Ha:: # 145 Ho: 145.HH> 145 Ho: 145. Hu # 145 0 000

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**Understanding Hypothesis Testing: Veterans Day Celebrations Attendance Analysis**

Consider the information provided in the previous question. It is conjectured that the mean number of people attending all 2017 Veterans Day celebrations is 145. The objective is to test this conjecture against the alternative hypothesis, which posits that the mean number of people attending all 2017 Veterans Day celebrations differs from 145 people.

To test this hypothesis, a simple random sample of 41 Veterans Day celebrations was selected, and the number of people attending each was recorded. For this sample of 41 celebrations, the mean number of people attending was 157, with a standard deviation of 23 people. The distribution of the data was bimodal. Use this information to test the hypotheses stated below at the 0.05 level of significance.

**Question 3**

Which of the following are the appropriate null and alternative hypotheses?

1. \( H_0: \mu = 145, H_a: \mu < 145 \)
2. \( H_0: \mu = 145, H_a: \mu \ne 145 \)
3. \( H_0: \mu = 145, H_a: \mu > 145 \)
4. \( H_0: \mu = 145, H_a: \mu \ne 145 \)

---

The correct formulation of the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)) is crucial for testing your conjecture using the provided data. Carefully evaluate each option to determine which pair of hypotheses correctly tests whether the mean attendance of 2017 Veterans Day celebrations is different from the assumed 145 people.
Transcribed Image Text:**Understanding Hypothesis Testing: Veterans Day Celebrations Attendance Analysis** Consider the information provided in the previous question. It is conjectured that the mean number of people attending all 2017 Veterans Day celebrations is 145. The objective is to test this conjecture against the alternative hypothesis, which posits that the mean number of people attending all 2017 Veterans Day celebrations differs from 145 people. To test this hypothesis, a simple random sample of 41 Veterans Day celebrations was selected, and the number of people attending each was recorded. For this sample of 41 celebrations, the mean number of people attending was 157, with a standard deviation of 23 people. The distribution of the data was bimodal. Use this information to test the hypotheses stated below at the 0.05 level of significance. **Question 3** Which of the following are the appropriate null and alternative hypotheses? 1. \( H_0: \mu = 145, H_a: \mu < 145 \) 2. \( H_0: \mu = 145, H_a: \mu \ne 145 \) 3. \( H_0: \mu = 145, H_a: \mu > 145 \) 4. \( H_0: \mu = 145, H_a: \mu \ne 145 \) --- The correct formulation of the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)) is crucial for testing your conjecture using the provided data. Carefully evaluate each option to determine which pair of hypotheses correctly tests whether the mean attendance of 2017 Veterans Day celebrations is different from the assumed 145 people.
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