Question

A student wants to conduct a test to determine if there is a positive slope between...

A student wants to conduct a test to determine if there is a positive slope between hours of study and grades on exams. What would be the hypotheses of the test?

Ho: βo = 0 vs. Ha: βo > 0

Ho: β1 = 0 vs. Ha: β1 < 0

Ho: βo = 0 vs. Ha: βo < 0

Ho: β1 = 0 vs. Ha: β1 > 0

Math   Statistics-And-Probability   
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Answer #1

A student wants to conduct a test to determine if there is a positive slope between hours of study and grades on exams.

Now, a regression equation is usually denoted by

Now, the slope is

Now, our original claim is that the slope is zero.

So, the null hypothesis is

We have to test this, in order to accept or reject it, in favour of the fact that the slope is greater than zero.

So, our alternate hypothesis is

So, the correct answer is option (D)

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