Question

If a researcher conducted a 2-tailed, non-directional hypothesis test with an alpha level of .02, what would be the corresponding critical value z-score(s)?

a.-2..32

b.2.325 and -2.325

c.+1.96 and -1.96

d. 2.055 and -2.055

Answer 1

Solution:

Given: A two tailed hypothesis test is conducted for mean of the population.

Level of significance =

We have to find the corresponding critical value z-score(s).

Since this is two tailed test find

look in z table for area = 0.0100 or its closest area and find z value.

Area 0.0099 is closest to 0.0100 and it corresponds to -2.3 and 0.03

thus z critical value = -2.33

thus critical values are: ( -2.33 , 2.33 )

Thus closest answer from the option is:

b.2.325 and -2.325

Thus correct answer for z scores is: b.2.325 and -2.325