#### Question

# 2-Sided tests, critical values and significance levels?

For a two-sided test, what critical value is associated with a level of significance of 0.16?

A. +/- 92

B. +/- 0.994

C. +/- 1.75

D. +/- 8

E. +/- 1.41

There's a table in the back of my book.. should I use that?

For a 2-sided test, what level of significance is associated with the critical values of z* = +/- 1.81?

A. 0.05

B. 0.0174

C. 0.0348

D. 0.9297

E. 0.0703

Again, should I use the table?

Thanks.

#### Answers

For a two-sided test, what critical value is associated with a level of significance of 0.16?

P( z > ? ) = 0.08

P( z < -? ) = 0.08

z= +/- 1.41

For a 2-sided test, what level of significance is associated with the critical values of z* = +/- 1.81?

P( z > 1.81) = 0.0348

P( z < -1.81) = 0.0348

Level of significance is 0.0348

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