Answer :
-2.05 is the critical value for the left-tailed test .
What is critical z value?
The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.
With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.
You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.
Given that,
α = 0.02.
left tailed test
Zα = 0.02 = -2.05
critical value = -2.05
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