shes, and are given hospital admissi sulung from motor veni month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: ▼0 10 14 0 7 13 11 13 11 10 4 6 40 10 What are the hypotheses for this test? Let μ be the data. Ho: Ha H₁: Hd Find the value of the test statistic. ta (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. ... in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of

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**Educational Website Content: Hypothesis Testing on Motor Vehicle Crash Data**

Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes. The data below represents the number of admissions for Fridays on the 6th of a month and Fridays on the following 13th of the same month. The aim is to test the claim using a 0.05 significance level that hospital admissions from motor vehicle crashes are not affected when the 13th day of a month falls on a Friday.

**Data:**

- **Friday the 6th:** 10, 7, 11, 11, 4
- **Friday the 13th:** 14, 13, 10, 6, 10

**Hypothesis Setup:**

- Let \(\mu_d\) be the mean difference in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data.
  
- **Null Hypothesis (\(H_0\)):** \(\mu_d = 0\)
  
- **Alternative Hypothesis (\(H_1\)):** \(\mu_d \neq 0\)

**Statistical Testing:**

- Calculate the test statistic using the given data and round to three decimal places as needed.
  
- Identify the critical value(s) and select the correct choice to fill in the answer based on the test results.

This exercise involves statistical analysis to determine if there is a significant difference in hospital admissions due to motor vehicle crashes between Fridays that fall on the 6th and 13th. Students can apply t-tests and critical value identification to evaluate the hypotheses and interpret the results within the given significance level context.
Transcribed Image Text:**Educational Website Content: Hypothesis Testing on Motor Vehicle Crash Data** Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes. The data below represents the number of admissions for Fridays on the 6th of a month and Fridays on the following 13th of the same month. The aim is to test the claim using a 0.05 significance level that hospital admissions from motor vehicle crashes are not affected when the 13th day of a month falls on a Friday. **Data:** - **Friday the 6th:** 10, 7, 11, 11, 4 - **Friday the 13th:** 14, 13, 10, 6, 10 **Hypothesis Setup:** - Let \(\mu_d\) be the mean difference in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data. - **Null Hypothesis (\(H_0\)):** \(\mu_d = 0\) - **Alternative Hypothesis (\(H_1\)):** \(\mu_d \neq 0\) **Statistical Testing:** - Calculate the test statistic using the given data and round to three decimal places as needed. - Identify the critical value(s) and select the correct choice to fill in the answer based on the test results. This exercise involves statistical analysis to determine if there is a significant difference in hospital admissions due to motor vehicle crashes between Fridays that fall on the 6th and 13th. Students can apply t-tests and critical value identification to evaluate the hypotheses and interpret the results within the given significance level context.
Researchers collected data on the number of hospital admissions resulting from motor vehicle crashes. The data is provided for Fridays on the 6th of a month and Fridays on the 13th of the same month. Using a 0.05 significance level, the claim tested is that when the 13th day of a month falls on a Friday, the number of hospital admissions from motor vehicle crashes is not affected.

**Data:**

- **Friday the 6th:** 10, 7, 11, 4, 4
- **Friday the 13th:** 14, 13, 13, 10, 6, 10

**Test Instructions:**

1. Determine the critical value:
   - A. The critical value is t = [ ]
2. Determine the critical values:
   - B. The critical values are t = ± [ ]
   
**Conclusion Options:**

Choose the correct conclusion based on the test:

A. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.

B. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.

C. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.

D. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
Transcribed Image Text:Researchers collected data on the number of hospital admissions resulting from motor vehicle crashes. The data is provided for Fridays on the 6th of a month and Fridays on the 13th of the same month. Using a 0.05 significance level, the claim tested is that when the 13th day of a month falls on a Friday, the number of hospital admissions from motor vehicle crashes is not affected. **Data:** - **Friday the 6th:** 10, 7, 11, 4, 4 - **Friday the 13th:** 14, 13, 13, 10, 6, 10 **Test Instructions:** 1. Determine the critical value: - A. The critical value is t = [ ] 2. Determine the critical values: - B. The critical values are t = ± [ ] **Conclusion Options:** Choose the correct conclusion based on the test: A. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected. B. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected. C. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected. D. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
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