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Assertiveness and leadership. Management professors
Chapter 12, Problem 58E(choose chapter or problem)
Assertiveness and leadership. Management professors at Columbia University examined the relationship between assertiveness and leadership (Journal of Personality and Social Psychology, Feb. 2007). The sample represented 388people enrolled in a full-time MBA program. Based on answers to a questionnaire, the researchers measured two variables for each subject: assertiveness score (x) and leadership ability score (y). A quadratic regression model was fit to the data, with the following results:
a. Conduct a test of overall model utility. Use \(\alpha = .05\).
b. The researchers hypothesized that leadership ability increases at a decreasing rate with assertiveness. Set up the null and alternative hypotheses to test this theory.
c. Use the reported results to conduct the test, part b. Give your conclusion (at \(\alpha = .05)\) in the words of the problem.
Text Transcription:
alpha = .05
Questions & Answers
QUESTION:
Assertiveness and leadership. Management professors at Columbia University examined the relationship between assertiveness and leadership (Journal of Personality and Social Psychology, Feb. 2007). The sample represented 388people enrolled in a full-time MBA program. Based on answers to a questionnaire, the researchers measured two variables for each subject: assertiveness score (x) and leadership ability score (y). A quadratic regression model was fit to the data, with the following results:
a. Conduct a test of overall model utility. Use \(\alpha = .05\).
b. The researchers hypothesized that leadership ability increases at a decreasing rate with assertiveness. Set up the null and alternative hypotheses to test this theory.
c. Use the reported results to conduct the test, part b. Give your conclusion (at \(\alpha = .05)\) in the words of the problem.
Text Transcription:
alpha = .05
ANSWER:Step 1 of 4
a) To test whether the quadratic model is statistically useful, we conduct the
global F-test:
Test statistic:
