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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.
-Which null hypothesis is tested by the test statistic F = 4.98?
A) H0: The average self worth scores are the same for the populations of boys and girls.
B) H0: The average self worth scores are the same for students who think they are too short, too tall and those who think their height is just right.
C) H0: The (possible) differences in average self worth scores between boys and girls are equal for the three populations defined by feelings about height.
D) H0: The (possible) differences in average self worth scores between the three populations defined by feelings about height differ for boys and girls.
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