Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a 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: 9 13 6 12 12 14 B. The critical values are t = ± 12 11 4 6 50 12 CAF Find the value of the test statistic. t= (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. (Round to three decimal places as needed.) OA. The critical value is t =

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**Analysis of Hospital Admissions for Motor Vehicle Crashes**

**Context:**
Researchers conducted a study to determine if the occurrence of motor vehicle crashes, leading to hospital admissions, changes when the 13th day of a month falls on a Friday. They compared data for hospital admissions from crashes on Fridays that were the 6th of the month to those on Fridays that were the 13th. 

**Data Collected:**
- **Friday the 6th:**
  - Admissions: 9, 6, 12, 12, 4, 5
- **Friday the 13th:**
  - Admissions: 13, 12, 14, 11, 6, 12

**Objective:**
To assess if there is a significant difference in the number of admissions between these two specific days using a significance level of 0.05.

**Steps to Undertake:**
1. **Calculate the Test Statistic:**
   - Determine the value of the test statistic `t` and round it to three decimal places.

2. **Identify Critical Values:**
   - Choose either:
     - **Option A:** The critical value is a single value `t = [ ]`.
     - **Option B:** The critical values are `t = ± [ ]`.

3. **Interpret Results:**
   - Use the calculated test statistic and critical value(s) to draw a conclusion about the hypothesis that the day (Friday the 13th vs. Friday the 6th) does not affect the number of hospital admissions from motor vehicle crashes.

This analysis will enable us to understand if superstitions surrounding Friday the 13th have any grounding in real-world data pertaining to vehicle crashes.
Transcribed Image Text:**Analysis of Hospital Admissions for Motor Vehicle Crashes** **Context:** Researchers conducted a study to determine if the occurrence of motor vehicle crashes, leading to hospital admissions, changes when the 13th day of a month falls on a Friday. They compared data for hospital admissions from crashes on Fridays that were the 6th of the month to those on Fridays that were the 13th. **Data Collected:** - **Friday the 6th:** - Admissions: 9, 6, 12, 12, 4, 5 - **Friday the 13th:** - Admissions: 13, 12, 14, 11, 6, 12 **Objective:** To assess if there is a significant difference in the number of admissions between these two specific days using a significance level of 0.05. **Steps to Undertake:** 1. **Calculate the Test Statistic:** - Determine the value of the test statistic `t` and round it to three decimal places. 2. **Identify Critical Values:** - Choose either: - **Option A:** The critical value is a single value `t = [ ]`. - **Option B:** The critical values are `t = ± [ ]`. 3. **Interpret Results:** - Use the calculated test statistic and critical value(s) to draw a conclusion about the hypothesis that the day (Friday the 13th vs. Friday the 6th) does not affect the number of hospital admissions from motor vehicle crashes. This analysis will enable us to understand if superstitions surrounding Friday the 13th have any grounding in real-world data pertaining to vehicle crashes.
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a 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: 9, 6, 12, 12, 4, 5
- Friday the 13th: 13, 12, 14, 11, 6, 12

_B_ The critical values are t = ± [space for value]

State the result of the test. Choose the correct answer below.

- ○ A. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
- ○ B. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.
- ○ C. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
- ○ D. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.
Transcribed Image Text:Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a 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: 9, 6, 12, 12, 4, 5 - Friday the 13th: 13, 12, 14, 11, 6, 12 _B_ The critical values are t = ± [space for value] State the result of the test. Choose the correct answer below. - ○ A. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected. - ○ B. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected. - ○ C. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected. - ○ D. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.
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