Hypothesis

Significance Level :

Significance Level :

Tail :

Z-critical (ze) :

Degrees of Freedom (n) :

Z-statistic Z0 :

Z-critical Ze :

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Hypothesis (H0) for Z, t, F & χ² Test Calculator

getcalc.com's Hypothesis (H0) for Z, t, F & χ² Test calculator is an online statistics & probability tool to check if the statistic about population parameter is statistically significant in statistical surveys & experiments. The test of hypothesis for Z-test, Student's t-test, F-test & χ²-test at a stated confidence level (99%, 98%, 97%, 96% 95%, etc or 0.01, 0.02, 0.03, 0.04, 0.05, etc) for single or two tailed distribution can easily be carried out by using this significance test calculator.

Test of Hypothesis for All Distributions

Test of Hypothesis is the technique used in probability & statistics to check if the significance of estimated population parameters by analyzing the samples of population is accepted in statistical experiments. The test of hypothesis in experiments classified as null hypothesis (H0) and alternative hypothesis (H1) popularly used to analyze one or two tailed normal distribution, t-distribution, F-distribution & Chi-squared distribution. In hypothesis testing, the calculated value of Z-statistic (Z0), Student's t-statistic (t0), F-statistic (F0) or χ²-statistic (χ²0) is compared with the table (critical) values of one or two tailed normal distribution (Ze), t-distribution (te), F-distribution (Fe) or Chi-squared distribution (χ²e) to check if the results of experiments are statistically significant. The conclusion based on the reasoning is called as Inference in the test of significance.

Inference :
For null hypothesis (H0) :
The null hypothesis is accepted, if
Z0 < Ze, t0 < te, F0 < Fe or χ²0 < χ²e
The above inference statement evident that there is no significant difference between the sample variances.
The null hypothesis (H0) is rejected if
Z0 > Ze, t0 > te, F0 > Fe or χ²0 > χ²e
The above inference statement evident that there is significant difference between the sample variances. 