Critical Value

Significance Level :

Significance Level :

Tail :

Z-critical (ze) :

Degrees of Freedom (n) :

Z-critical value (Ze) :

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# Table (Critical) Values for Z, t, F & χ² Test Calculator

getcalc.com's Table (Critical) Values for Z, t, F & χ² Test calculator is an online statistics & probability tool to check if the null hypothesis (H0) is accepted or rejected at a stated level of significance 99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc in statistical experiments.

## Critical (Table) Values for Hypothesis (H0) Test

Critical Values is often referred with test of hypothesis for Z-test for normal distribution, t-test for t-distribution, F-test for F-distribution & χ²-test for χ²-distribution to analyze if the results of statistics & probability experiments is statistically significant. Generally, the critical values are the values obtained from the normal distribution, single or two tailed t-distribution, F-distribution & χ2 table based on the values degrees of freedom (df) and the level of confidence 99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc. These table values Ze, te, Fe & χ²e obtained from the corresponding distribution tables at stated level of significance are compared with the calculated values of Z-statistic (Z0), t-statistic (t0), F-statistic (F0) & χ²-statistic (χ²0) to check if the null hypothesis is accepted or rejected in Z-test, single or two tailed t-test, F-test & χ²-test respectively.

## Critical Value (Ze) for Z-Test calculator

Generally, critical (table) value of (Ze) calculator is often related to the test of significance for large samples analysis. Ze is an important part of Z-test to test the significance of large samples of normal distribution. By supplying corresponding input values to this normal distribution critical values calculator, users can estimate Ze for single sample mean (x̄), single sample proportion (p), difference between two sample means (x̄1 - x̄2) & difference between two sample proportions (p1 - p2) to check if the results of statistical surveys or experiments statistically significant. The critical value Ze obtained from the normal distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with the estimated value of Z-statistic (Z0) to test if the null hypothesis (H0) is accepted or rejected at a specified level of significance in one (left or right) tailed or two tailed Z-test.

### Critical Value (te) for Student's t-Test Calculator

Generally, table (critical) value (te) for student's t-test calculator is often related to the test of significance for very sample analysis. te is an important part of t-test to check if the results of statistical experiment is statistically significant. By supplying corresponding input values to this critical value for t-test calculator, users can estimate te) for single independent sample mean (x̄), difference between two sample means (x̄1 - x̄2) & paired or related sample means (x̄) in statistical surveys or experiments. The critical value te obtained from the one or two tailed t-distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with t-statistic (t0) estimated for the corresponding degrees of freedom ν to test if the null hypothesis (H0) is accepted or rejected at a specified level of significance in one (left or right) tailed or two tailed t-test.

### Critical Value (Fe) for F-Test Calculator

Generally, the table (critical) value (Fe) for F-test calculator is often related to the test of significance to analyze the quality between two or more sample variances. F0 is an important part of F-test to test the significance for two or more sample variances. By supplying corresponding input values to this critical value for F-test calculator, users can estimate Fe for two or more samples in statistical surveys or experiments. The obtained Fe from F-distribution table for the corresponding degrees of freedom at a stated level of confidence 99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc to test if the null hypothesis (H0) is accepted or rejected in F-test, one-way anova or two-way ANOVA experiments.

### Critical Value (χ²e) for χ²-Test Calculator

Generally, table (critical) value (χ²e) for Chi-squared calculator is often related to the test of significance for samples which are not normally distributed in statistical experiments. χ²e is an important part of χ²-test to test the significance between two abnormally distributed sample sets. By supplying the corresponding input values to this chi-squared table value calculator, users can find χ²e for two or more sample sets in statistical surveys or experiments. The critical value χ²e obtained from χ²-distribution table for the corresponding degrees of freedom at a stated level of confidence (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) is further compared with the estimated value of χ2 statistic (χ²0) to test if the null hypothesis (H0) is accepted or rejected in χ²-test.