Discussion
In case of a one-way ANOVA, the data strongly supports the null hypothesis that all the treatments have the same effect. Hence the p-value corresponding to the F ratio is :
Answer: A
The p-value is much larger than 0.05.
The p-value is the probability, under the null hypothesis, of an F ratio at least as large as the one observed. Data that are fully consistent with equal treatment effects give a small F ratio, close to 1 or below, and such values are common under \(H_{0}\), so the p-value is large and the null is not rejected at any usual level.
A p-value between 0.01 and 0.05, or below 0.01, would be evidence against the null hypothesis, the opposite of the situation described. And something can be said: support for \(H_{0}\) translates directly into a large p-value. (Strictly, a large p-value means the data give no evidence against the null, rather than proving it.)
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