![]() ![]() The null hypothesis is rejected when the z-statistic lies on the rejection region, which is determined by the significance level (\(\alpha\)) and the type of tail (two-tailed, left-tailed or right-tailed). What can you do with this z-test statistic calculator for hypothesis testing? The formula for a z-statistic is Type I error occurs when we reject a true null hypothesis, and the Type II error occurs when we fail to reject a false null hypothesis In a hypothesis tests there are two types of errors. The p-value is the probability of obtaining sample results as extreme or more extreme than the sample results obtained, under the assumption that the null hypothesis is true The main principle of hypothesis testing is that the null hypothesis is rejected if the test statistic obtained is sufficiently unlikely under the assumption that the null hypothesis is true When testing a hypothesis using a statistical test, there are several. ![]() The main properties of a one sample z-test for one population mean are:ĭepending on our knowledge about the "no effect" situation, the z-test can be two-tailed, left-tailed or right-tailed XLSTAT can calculate the power or the number of observations required for a test. The null hypothesis is a statement about the population mean, under the assumption of no effect, and the alternative hypothesis is the complementary hypothesis to the null hypothesis. The test has two non-overlapping hypotheses, the null and the alternative hypothesis. So you can better interpret the results obtained by this solver: A z-test for one mean is a hypothesis test that attempts to make a claim about the population mean (\(\mu\)). How to Conduct a Z-Test for One Population Mean? ![]()
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