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To examine the differences between salaries of male and female middle managers of a large bank, 90 individuals were randomly selected and the following variables considered:
Salary = the monthly salary (excluding fringe benefits and bonuses)
Educ = the number of years of education
Exper = the number of months of experience
Gender = the gender of an individual; 1 for males, and 0 for females
The regression results obtained for the models are as follows:
Model A: Salary = β0 + β1 Educ + β2 Exper + β3 Gender + β4 Exper × Gender + ε,
Model B: Salary = β0 + β1 Educ + β2 Exper + ε, are summarized in the following table. Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Define the alternative hypothesis for testing the joint significance of Exper and Exper × Gender in Model A?
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