Question

1. A researcher is studying the effect of two different instructional programs (cooperative learning versus

large-group lecture) on male and female students relative to attitudes toward mathematics. He is using a 2

by 2 factorial design.

Write the three statistical hypotheses in words and in the context of the given research setting.

2. Let’s assume that in problem 1 above it was reported that FA (2, 55) = 1.03, p > .05, FB (2, 55) = 3.05,

p > .05, and ?!×!(2, 55) = 3.25, p < .05. Interpret the results in the context of the setting given in problem

Answer 1

(1)

(a) Ho: There is no difference between the two instructional programs

Ha: There is a significant difference between the two instructional programs

(b) There is no difference between the two genders

Ha: There is a significant difference between the two genders

(c) Ho: There is no interaction between instructional program and gender

Ha: There is a significant interaction between instructional program and gender

(2)

(a) Since p > 0.05, we fail to reject Ho. There is no sufficient evidence of a significant difference between the two instructional programs.

(b) Since p > 0.05, we fail to reject Ho. There is no sufficient evidence of a significant difference between the two genders.

(c) Since p < 0.05, we reject Ho. There is evidence of a significant interaction between instructional program and gender.

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