A test statistic for one of the tests in this unit is given, along with information about degrees of freedom. Give the p-value and indicate whether the results are significant at the 5% level. An analysis of variance test with F-statistic = 7.42 and df-numerator = 3 and df -denominator = 56 Round your answer to four decimal places. p-value = i

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### Statistical Analysis in Education

**Understanding a Test Statistic and p-value**

A test statistic for one of the tests in this unit is given, along with information about degrees of freedom. Your task is to calculate the p-value and determine whether the results are significant at the 5% level.

#### Analysis of Variance (ANOVA)

A specific analysis of variance test using the F-distribution is provided with the following details:

- **F-statistic (F)**: 7.42
- **Degrees of Freedom (numerator)**: df_numerator = 3
- **Degrees of Freedom (denominator)**: df_denominator = 56

### Task

1. **Calculate the p-value**: Using the given F-statistic and the degrees of freedom, compute the p-value. The p-value is a measure that helps determine the significance of the results.
   
2. **Determine Significance**: Compare the p-value with the significance level of 5% (0.05). If the p-value is less than 0.05, the test results are significant.

#### Instructions:

- **Round your answer to four decimal places**.

#### Input:

- **p-value = [      ]**

Fill in the calculated p-value in the input box provided.

### Explanation of Graphs and Diagrams

- **p-value Input Box**: This is a single input field where you enter the computed p-value rounded to four decimal places.
  
- **Information Icon**: Next to the p-value input box, an information icon may be present to provide additional help or clarification on how to calculate or interpret the p-value.

By accurately filling in the p-value and determining its significance, you can conclude the statistical outcome of the test.
Transcribed Image Text:### Statistical Analysis in Education **Understanding a Test Statistic and p-value** A test statistic for one of the tests in this unit is given, along with information about degrees of freedom. Your task is to calculate the p-value and determine whether the results are significant at the 5% level. #### Analysis of Variance (ANOVA) A specific analysis of variance test using the F-distribution is provided with the following details: - **F-statistic (F)**: 7.42 - **Degrees of Freedom (numerator)**: df_numerator = 3 - **Degrees of Freedom (denominator)**: df_denominator = 56 ### Task 1. **Calculate the p-value**: Using the given F-statistic and the degrees of freedom, compute the p-value. The p-value is a measure that helps determine the significance of the results. 2. **Determine Significance**: Compare the p-value with the significance level of 5% (0.05). If the p-value is less than 0.05, the test results are significant. #### Instructions: - **Round your answer to four decimal places**. #### Input: - **p-value = [ ]** Fill in the calculated p-value in the input box provided. ### Explanation of Graphs and Diagrams - **p-value Input Box**: This is a single input field where you enter the computed p-value rounded to four decimal places. - **Information Icon**: Next to the p-value input box, an information icon may be present to provide additional help or clarification on how to calculate or interpret the p-value. By accurately filling in the p-value and determining its significance, you can conclude the statistical outcome of the test.
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