In: Statistics and Probability
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
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