Critical Z-Value.98
Critical Z-value .98

Given α = .98

Calculate the right-tailed and left-tailed critical value for Z

Calculate right-tailed value:

Since α = .98, the area under the curve is 1 - α → 1 - .98 = 0.02

Our critical z value is -2.0537

Excel or Google Sheets formula:
Excel or Google Sheets formula:=NORMSINV(0.02)
Calculate left-tailed value:

Our critical z-value = 2.0537

Excel or Google Sheets formula:
Excel or Google Sheets formula:=NORMSINV(.98)
Critical Z value table:
zProbability (Area under Curve)
-2.32630.01
-2.05370.02
-1.88080.03
-1.75070.04
-1.64490.05
-1.55480.06
-1.47580.07
-1.40510.08
-1.34080.09
-1.28160.10
-1.22650.11
-1.1750.12
-1.12640.13
-1.08030.14
-1.03640.15
-0.99450.16
-0.95420.17
-0.91540.18
-0.87790.19
-0.84160.20
-0.80640.21
-0.77220.22
-0.73880.23
-0.70630.24
-0.67450.25
-0.64330.26
-0.61280.27
-0.58280.28
-0.55340.29
-0.52440.30
-0.49590.31
-0.46770.32
-0.43990.33
-0.41250.34
-0.38530.35
-0.35850.36
-0.33190.37
-0.30550.38
-0.27930.39
-0.25330.40
-0.22750.41
-0.20190.42
-0.17640.43
-0.1510.44
-0.12570.45
-0.10040.46
-0.07530.47
-0.05020.48
-0.02510.49
00.50
0.02510.51
0.05020.52
0.07530.53
0.10040.54
0.12570.55
0.1510.56
0.17640.57
0.20190.58
0.22750.59
0.25330.60
0.27930.61
0.30550.62
0.33190.63
0.35850.64
0.38530.65
0.41250.66
0.43990.67
0.46770.68
0.49590.69
0.52440.70
0.55340.71
0.58280.72
0.61280.73
0.64330.74
0.67450.75
0.70630.76
0.73880.77
0.77220.78
0.80640.79
0.84160.80
0.87790.81
0.91540.82
0.95420.83
0.99450.84
1.03640.85
1.08030.86
1.12640.87
1.1750.88
1.22650.89
1.28160.90
1.34080.91
1.40510.92
1.47580.93
1.55480.94
1.64490.95
1.75070.96
1.88080.97
1.960.975
-1.960.025
2.05370.98
2.32630.99
-2.57580.005
2.57580.995
Final Answer

Right tail value = -2.0537
Left tail value = 2.0537

You have 1 free calculations remaining



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?

area
Number of square units covering the shape
critical value
a 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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David Miller

David Miller

Executive Financial & Market Analyst

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.

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