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A random sample of 235 students from University X is given a questionnaire about feelings. One of the questions was: "How do you feel about your height?" The answer categories were: too short, just about right, or too tall. A total feelings score is also calculated to measure the students' self worth. The results of theself worth score will be compared between the three groups defined by their feelings about their height andbetween boys and girl. The F-ratio for the interaction between feelings about height and gender is 4.98, with a p-value of 0.008.
-How is the p-value of 0.008 obtained?
A) The area to the right of F = 4.98 under the F-distribution.
B) The area to the left of F = 4.98 under the F-distribution.
C) The area left of F = -4.98 and right of F = 4.98 under the F-distribution.
D) The area between F = -4.98 and F = 4.98 under the F-distribution.

Question

Use the following information for questions:
 A random sample of 235 students from University X is given a questionnaire about feelings. One of the questions was: "How do you feel about your height?" The answer categories were: too short, just about right, or too tall. A total feelings score is also calculated to measure the students' self worth. The results of theself worth score will be compared between the three groups defined by their feelings about their height andbetween boys and girl. The F-ratio for the interaction between feelings about height and gender is 4.98, with a p-value of 0.008.
-How is the p-value of 0.008 obtained?
A) The area to the right of F = 4.98 under the F-distribution.
B) The area to the left of F = 4.98 under the F-distribution.
C) The area left of F = -4.98 and right of F = 4.98 under the F-distribution.
D) The area between F = -4.98 and F = 4.98 under the F-distribution.

Quizplus · Accepted Answer

The p-value of 0.008 is obtained by finding the area to the right of F = 4.98 under the F-distribution, which represents the probability of observing an F-ratio as extreme as, or more extreme than, the one observed (4.98) if the null hypothesis is true.

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