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In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33. In this case, the p-value is:

A. Less than 0.05
B. Depends on what the SSE is
C. Greater than 0.05
D. Exactly 0.05

Answer :

The p-value in ANOVA depends on the computed F statistic and degrees of freedom.

The p-value in an ANOVA test is the probability of obtaining a test statistic as extreme as the observed F statistic, assuming the null hypothesis is true. In this case, if the computed F statistic is 2.33 and the degrees of freedom for the numerator (k - 1) and denominator (N - k) are known, we can use the F-distribution table or statistical software to calculate the p-value.

Since the p-value is not provided, we cannot determine whether it is less than 0.05, depends on the SSE (Sum of Squares Error), greater than 0.05, or exactly 0.05 without further information. The p-value helps in determining the level of significance and whether to reject the null hypothesis or not.

It is important to note that the interpretation of the p-value is subjective based on the chosen significance level, usually 0.05 or 0.01. Therefore, the answer to this question cannot be determined without more information.

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