# Hypothesis (H_{0}) 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 (H_{0}) and alternative hypothesis (H_{1}) 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 (Z_{0}), Student's t-statistic (t_{0}), F-statistic (F_{0}) or χ²-statistic (χ²_{0}) is compared with the table (critical) values of one or two tailed normal distribution (Z_{e}), t-distribution (t_{e}), F-distribution (F_{e}) or Chi-squared distribution (χ²_{e}) 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 (H _{0}) :__

The null hypothesis is accepted, if

Z

_{0}< Z

_{e}, t

_{0}< t

_{e}, F

_{0}< F

_{e}or χ²

_{0}< χ²

_{e}

The above inference statement evident that there is no significant difference between the sample

*variances*.

The null hypothesis (H

_{0}) is rejected if

Z

_{0}> Z

_{e}, t

_{0}> t

_{e}, F

_{0}> F

_{e}or χ²

_{0}> χ²

_{e}

The above inference statement evident that there is significant difference between the sample variances.