# statistics test

• Oct 20th 2008, 11:21 PM
brumby_3
statistics test
We want to test H0: µ = µ0 vs Ha: µ ≠ µ0. We have a sample of 200 observations and the z-test statistic based on the sample is positive. What value should we compare the test statistic with in order to draw a conclusion at the 10% level?

a) 0.05
b) 0.1
c) 1.282
d) 1.645

I got c as my answer using the inverse normal probability table but the answers say that it is d. Can someone please explain why it is d?
I thought it would be d at the 5% level, not 10%
• Oct 21st 2008, 03:07 AM
mr fantastic
Quote:

Originally Posted by brumby_3
We want to test H0: µ = µ0 vs Ha: µ ≠ µ0. We have a sample of 200 observations and the z-test statistic based on the sample is positive. What value should we compare the test statistic with in order to draw a conclusion at the 10% level?

a) 0.05
b) 0.1
c) 1.282
d) 1.645

I got c as my answer using the inverse normal probability table but the answers say that it is d. Can someone please explain why it is d? I thought it would be d at the 5% level, not 10%

It's a two-sided test at the 0.1 significance level.