Why the answer is (between .02 and .05)? I dont get it at all You estimate a sim

Question

Why the answer is (between .02 and .05)? I dont get it at all

You estimate a simple linear regression model using a sample of 62 observations and obtain the following results (estimated standard errors in parentheses below coefficient estimates): y = 97.25+ 33.74* x (3.86) (9.42) You want to test the following hypothesis: H_0: beta_2 = 12, H1: beta_2 notequalto 12. If you choose to reject the null hypothesis based on these results, what is the probability you have committed a Type I error? between .05 and .10 t(0.975, 60)=2 t(0.95, 60)=1.671 between .01 and .025 t(0.995, 60)=2.66 t(0.9875, 60)=2.299 between .02 and .05 t(0.99, 60)=2.39 t(0.95, 60)=1.671 between .02 and .05 It is impossible to determine without knowing the true value of beta_2 Ans: c t=(b2-beta2)/se(b2)=(33.74-12)/9.42=2.3079 Section: 3.2

Explanation / Answer

Solution :

c.) between .02 and .05

Description :

Test hypothesis: H0 : 2 = 12, H1 : 2 12

If they asked to choose to reject the null hypothesis then the probability to committed a Type II error is impossible to determine without knowing the true value of 2.

But here it is asked to choose to reject the null hypothesis based on above results,then the probability to committed a Type I error is in between .02 and .05

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.