Critical Z-value 0.02

Given α = 0.02, calculate the right-tailed and left-tailed critical value for Z

Calculate right-tailed value:

Since α = 0.02, the area under the curve is 1 - α → 1 - 0.02 = 0.98

Our critical z value is 2.0537

Excel or Google Sheets formula:

=NORMSINV(0.98)

Calculate left-tailed value:

Our critical z-value = -2.0537

Excel or Google Sheets formula:

=NORMSINV(0.02)

z	Probability (Area under Curve)
-2.3263	0.01
-2.0537	0.02
-1.8808	0.03
-1.7507	0.04
-1.6449	0.05
-1.5548	0.06
-1.4758	0.07
-1.4051	0.08
-1.3408	0.09
-1.2816	0.10
-1.2265	0.11
-1.175	0.12
-1.1264	0.13
-1.0803	0.14
-1.0364	0.15
-0.9945	0.16
-0.9542	0.17
-0.9154	0.18
-0.8779	0.19
-0.8416	0.20
-0.8064	0.21
-0.7722	0.22
-0.7388	0.23
-0.7063	0.24
-0.6745	0.25
-0.6433	0.26
-0.6128	0.27
-0.5828	0.28
-0.5534	0.29
-0.5244	0.30
-0.4959	0.31
-0.4677	0.32
-0.4399	0.33
-0.4125	0.34
-0.3853	0.35
-0.3585	0.36
-0.3319	0.37
-0.3055	0.38
-0.2793	0.39
-0.2533	0.40
-0.2275	0.41
-0.2019	0.42
-0.1764	0.43
-0.151	0.44
-0.1257	0.45
-0.1004	0.46
-0.0753	0.47
-0.0502	0.48
-0.0251	0.49
0	0.50
0.0251	0.51
0.0502	0.52
0.0753	0.53
0.1004	0.54
0.1257	0.55
0.151	0.56
0.1764	0.57
0.2019	0.58
0.2275	0.59
0.2533	0.60
0.2793	0.61
0.3055	0.62
0.3319	0.63
0.3585	0.64
0.3853	0.65
0.4125	0.66
0.4399	0.67
0.4677	0.68
0.4959	0.69
0.5244	0.70
0.5534	0.71
0.5828	0.72
0.6128	0.73
0.6433	0.74
0.6745	0.75
0.7063	0.76
0.7388	0.77
0.7722	0.78
0.8064	0.79
0.8416	0.80
0.8779	0.81
0.9154	0.82
0.9542	0.83
0.9945	0.84
1.0364	0.85
1.0803	0.86
1.1264	0.87
1.175	0.88
1.2265	0.89
1.2816	0.90
1.3408	0.91
1.4051	0.92
1.4758	0.93
1.5548	0.94
1.6449	0.95
1.7507	0.96
1.8808	0.97
1.96	0.975
-1.96	0.025
2.0537	0.98
2.3263	0.99
-2.5758	0.005
2.5758	0.995

How does the Critical Z-values Calculator work?

Free Critical Z-values Calculator - Given a probability from a normal distribution, this will generate the z-score critical value. Uses the NORMSINV Excel function.
This calculator has 1 input.

What 1 formula is used for the Critical Z-values Calculator?

What 3 concepts are covered in the Critical Z-values Calculator?

areaNumber of square units covering the shapecritical valuea point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis. critical z-values

Example calculations for the Critical Z-values Calculator

Critical Z-values Calculator Video

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