Answer :
The p-value for the given one-way ANOVA scenario with the provided test statistic and degrees of freedom is approximately 0.0716.
- Calculate the p-value: For a one-way ANOVA with a test statistic f = 6.89, degrees of freedom for error = 76, and degrees of freedom for groups = 5, the p-value can be found by referring to an F-distribution table.
- Since the calculator displays the F statistic, you can directly find the p-value which is approximately 0.0716.
- Therefore, the p-value for this scenario would be approximately 0.0716.
The p-value is calculated as: 0.019
What is the p-value?
To find the p-value for a one-way ANOVA with a test statistic F = 6.89, degrees of freedom for the error df2 = 76, and degrees of freedom for the groups df1 = 5, we can use an F-distribution table or calculator.
The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, given that the null hypothesis is true.
A small p-value (typically less than 0.05) suggests that the observed difference is unlikely to have occurred by chance and provides evidence to reject the null hypothesis.
Using an F-distribution calculator with df1 = 5 and df2 = 76:
The p-value is: 0.019
