Critical Z-value 0.025

Critical Z-value 0.025 Image to Crop

Given α = 0.025

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

Calculate right-tailed value:

Since α = 0.025, the area under the curve is 1 - α → 1 - 0.025 = 0.975

Our critical z value is 1.96

Excel or Google Sheets formula:

Excel or Google Sheets formula:=NORMSINV(0.975)

Calculate left-tailed value:

Our critical z-value = -1.96

Excel or Google Sheets formula:

Excel or Google Sheets formula:=NORMSINV(0.025)

Critical Z value table:

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

Final Answer

Right tail value = 1.96
Left tail value = -1.96

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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

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