The calculated value of F in a one-way analysis is 8.23.The numerator degrees of freedom and denominator degrees of freedom are 4 and 8,respectively.The most accurate statement to be made about the p-value is:
A) p-value 0.05.
B) 0.05 p-value 0.025.
C) p-value 0.01.
D) 0.01 p-value.
E) 0.025 p-value 0.01.

Question

The calculated value of F in a one-way analysis is 8.23.The numerator degrees of freedom and denominator degrees of freedom are 4 and 8,respectively.The most accurate statement to be made about the p-value is:
A) p-value > 0.05.
B) 0.05 > p-value > 0.025.
C) p-value > 0.01.
D) 0.01 > p-value.
E) 0.025 > p-value > 0.01.

Quizplus · Accepted Answer

To determine the p-value range for an F-statistic of 8.23 with numerator degrees of freedom (df1) = 4 and denominator degrees of freedom (df2) = 8, one would typically refer to an F-distribution table or use statistical software. Given the high F-value and the specific degrees of freedom, the p-value would be very low, indicating strong evidence against the null hypothesis. Without the exact table or software at hand, but based on typical F-distribution properties, a value of 8.23 is quite high, suggesting a p-value smaller than 0.01, hence option D is the most accurate estimation.

The Calculated Value of F in a One-Way Analysis Is