Find the value of the chi-square test statistic for he goodness-of-fit test. The following table is obtained from a random sample of 30 absences. You wish to test the claim that the absences occur on the five days with equal frequency. What is the value of the y test statistic? The observed Observed Frequency (O) 8 9 frequencies and the expected frequencies are shown to the right. 2 Day Mon Tue Wed Thur Fri Number Absent 8. 10 O A. 2 = 17.500 O B. 2 =7.000 O C. x2 = 8.750 O D. 2 = 11.667 10 2. 19

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**Chi-Square Goodness-of-Fit Test Question**

Find the value of the chi-square test statistic for the goodness-of-fit test. The following table is obtained from a random sample of 30 absences. You wish to test the claim that the absences occur on the five days with equal frequency. What is the value of the \( \chi^2 \) test statistic? The observed frequencies and the expected frequencies are shown to the right.

| Day     | Mon | Tue | Wed | Thur | Fri |
|---------|-----|-----|-----|------|-----|
| Number Absent | 8   | 9   | 2   | 10   | 1   |

**Observed and Expected Frequencies:**

- **Observed Frequency (O):**  
  - 8  
  - 9  
  - 2  
  - 10  
  - 1  

- **Expected Frequency (E):**  
  - 6  
  - 6  
  - 6  
  - 6  
  - 6  

**Options:**

- A. \( \chi^2 = 17.500 \)
- B. \( \chi^2 = 7.000 \)
- C. \( \chi^2 = 8.750 \)
- D. \( \chi^2 = 11.667 \)
Transcribed Image Text:**Chi-Square Goodness-of-Fit Test Question** Find the value of the chi-square test statistic for the goodness-of-fit test. The following table is obtained from a random sample of 30 absences. You wish to test the claim that the absences occur on the five days with equal frequency. What is the value of the \( \chi^2 \) test statistic? The observed frequencies and the expected frequencies are shown to the right. | Day | Mon | Tue | Wed | Thur | Fri | |---------|-----|-----|-----|------|-----| | Number Absent | 8 | 9 | 2 | 10 | 1 | **Observed and Expected Frequencies:** - **Observed Frequency (O):** - 8 - 9 - 2 - 10 - 1 - **Expected Frequency (E):** - 6 - 6 - 6 - 6 - 6 **Options:** - A. \( \chi^2 = 17.500 \) - B. \( \chi^2 = 7.000 \) - C. \( \chi^2 = 8.750 \) - D. \( \chi^2 = 11.667 \)
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