You estimate a simple linear regression model using a sample of 25 observations and obtain the following results (estimated standard errors in parentheses below coefficient estimates): y = 97.25 + 19.74 *x
(3.86) (3.42)
You want to test the following hypothesis: H0: beta2 = 1, H1: beta2 >12. If you choose to reject the null hypothesis based on these results, what is the probability you have committed a Type I error?
a.)between .01 and .02 b.)between .02 and .05 c.)less than .005 d.) It is impossible to determine without knowing the true value of beta2
ANSWER:
The test statistic can be written as
which under H0 follows a t distribution with df n - 2
P(Type I error) =
Since in this case critical value or rejection region is not given, it not possible to compute Type I error.
ans-> d.) It is impossible to determine without knowing the true value of 2
Option:: (d) is correct............
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