Question

An estimated regression coefficient is equal to 0.5. What is the confidence level associated with the...

An estimated regression coefficient is equal to 0.5. What is the confidence level associated with the one sided interval(0.5,∞)?

a. 50%

b. 95%

c. 100%

d. 90%

Suppose a hypothesized slope value is not contained in the 95% confidence interval. If one were test the hypothesis at the 10% level which of the following statements are correct?

a. I would reject the null hypothesis

b. I would not reject the null hypothesis

c. I need more information

Suppose the value a is inside the 90% confidence interval for a coefficient in an estimated regression. Suppose one were to test the hypothesis that the coefficient is equal to a against the two sided alternative that it is not equal to a. Which of the following is a correct statement?

a. I would not reject the null at the 10% significance level

b. I would reject the null hypothesis at the 5% level of significance

c. I would reject the null hypothesis at the 1% level of significance

d. I would not reject the null hypothesis at the 5% level of significance

Homework Answers

Answer #1

1 answer) B) 95%

In a hypothesis test 5% level cannot be rejected.To attain true value the interval has probability function of 95%That means the confidence interval consisrs of true population mean.

2 answer) A) I would reject the null hypothesis

If there is no hypothesize parameter then weshould reject the null hypothesis.When ever P value is low the null hypothesis is rejected.In this null hypothesis coefficient is zero

3 answer) A) I would not reject the null at 10% significance level

If the P value is more than significant level then you would fail to reject null hypothesis.

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