Suppose we are given the following information: Sample size,n,= 100
Standard error of slope of the regression line, = 2 = 100 + 4x
What is the test statistic to test the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?
A)100
B)4
C)2
D)None of the above

Question

Suppose we are given the following information: Sample size,n,= 100
Standard error of slope of the regression line,  = 2  = 100 + 4x
What is the test statistic to test the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?
A)100 
B)4 
C)2 
D)None of the above

Quizplus · Accepted Answer

The test statistic for this situation is calculated by dividing the estimate of the slope (4) by its standard error (2), resulting in a test statistic of 2. This is because the null hypothesis states that the slope is zero, and if the test statistic is sufficiently far from zero, we reject the null hypothesis in favor of the alternative hypothesis that the slope is not zero. Therefore, the correct choice is C, 2.

Suppose We Are Given the Following Information: Sample Size,n,= 100