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Contents  Introduction Descriptive Hypothesis Tables Appendix

Z Distribution Critical Values

Z
Area Beyond
Z
Area Beyond
Z
Area Beyond
0.150
0.440
1.300
0.097
2.450
0.007
0.200
0.421
1.350
0.089
2.500
0.006
0.250
0.401
1.400
0.081
2.550
0.005
0.300
0.382
1.450
0.074
2.580
0.005
0.350
0.363
1.500
0.067
2.650
0.004
0.400
0.345
1.550
0.061
2.700
0.004
0.450
0.326
1.600
0.055
2.750
0.003
0.500
0.309
1.650
0.050
2.800
0.003
0.550
0.291
1.700
0.045
2.850
0.002
0.600
0.274
1.750
0.040
2.900
0.002
0.650
0.258
1.800
0.036
2.950
0.002
0.700
0.242
1.850
0.032
3.000
0.001
0.750
0.227
1.900
0.029
3.050
0.001
0.800
0.212
1.960
0.026
3.100
0.001
0.850
0.198
2.000
0.023
3.150
0.001
0.900
0.184
2.050
0.020
3.200
0.001
0.950
0.171
2.100
0.018
3.250
0.001
1.000
0.159
2.150
0.016
3.300
0.001
1.050
0.147
2.200
0.014
3.350
0.000
1.100
0.136
2.250
0.012
3.400
0.000
1.150
0.125
2.300
0.011
3.450
0.000
1.200
0.115
2.350
0.009
3.500
0.000
This is only a portion of a much larger table.

The area beyond Z is the proportion of the distribution beyond the critical value (region of rejection). Example: If a test at .05 alpha is conducted, the area beyond Z for a two-tailed test is .025 (Z-value 1.96). For a one-tailed test the area beyond Z would be .05 (z-value 1.65).