Question

A researcher obtains an F = 4.10 with df = 2, 14. Please provide the null statement (reject or fail to reject), and provide the APA statement for both A and B (Hint: F(value of num, value of denom) = value of F-ratio; p > or < alpha level).

Is this value sufficient to reject the null with α = .05?

Answer 1

The F statistic of 4.10 with df = 2, 14 leads to a p-value of 0.0248, which is less than the significance level α = .05.

Step-by-step explanation:

A researcher has obtained an F statistic of 4.10 with degrees of freedom df = 2, 14. To determine if this value is sufficient to reject the null hypothesis, we compare the p-value to the significance level α = .05.

The p-value is calculated as the probability that the F statistic would be as large as 4.10 or larger under the null hypothesis. According to the provided information, the p-value = P(F > 4.481) = 0.0248 which means that the probability of obtaining an F-ratio as extreme as or greater than 4.10 is 0.0248.

Comparing the alpha level α = 0.05 to the p-value 0.0248, we find that α > p-value. Therefore, we reject the null hypothesis. The proper APA statement would be F(2, 14) = 4.10, p < .05, indicating that the test statistic is significant at the 5 percent level. Thus, there is sufficient evidence to suggest that there is a statistically significant difference among the groups being tested.