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Argosy University/ Phoniex University/
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Teacher perceptions of child behavior. Refer to the Developmental Psychology (Mar. 2003) study on the aggressive behavior of elementary school children, presented in Exercise 8.27 (p. 365). Recall that you tested H0: μ = 3 against Ha: μ ≠ 3, where μ is the mean level of aggressiveness for the population of all New York City public school children, as perceived by their teachers and based on the summary statistics n = 11,160,
= 2.15, and s = 1.05.
a. Compute the p -value of the test.
b. Compare the p -value with a = .10 and make the appropriate conclusion.
Exercise 8.27
Teacher perceptions of child behavior. Developmental Psychology (Mar. 2003) published a study on teacher perceptions of the behavior of elementary school children. Teachers rated the aggressive behavior of a sample of 11,160 New York City public school children by responding to the statement “This child threatens or bullies others in order to get his/her own way.” Responses were measured on a scale ranging from 1 (never) to 5 (always). Summary statistics for the sample of 11,160 children were reported as
= 2.15 and s = 1.05. Let μ represent the mean response for the population of all New York City public school children. Suppose you want to test H0: μ = 3 against Ha: μ ≠ 3.
a. In the words of the problem, define a Type I error and a Type II error.
b. Use the sample information to conduct the test at a significance level of a = .05.
c. Conduct the test from part b at a significance level of a = .10.
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