The null hypothesis includes the boundary value. In the example with a population mean of 23, the null hypothesis is centered around or includes this specific value as the reference claim against which the alternative hypothesis tests for departure.
Conditions: The example uses a population mean of 23.; The null hypothesis is formulated to include this value.
The null hypothesis includes the boundary value. In the example with a population mean of 23, the null hypothesis is centered around or includes this specific value as the reference claim against which the alternative hypothesis tests for departure.
Conditions: The example uses a population mean of 23.; The null hypothesis is formulated to include this value.
A one-tailed test allocates the entire significance level α to its designated tail. Unlike a two-tailed test which splits α into α/2 for each tail, a one-tailed test places all of α in either the left or the right tail, depending on the direction specified by the alternative hypothesis.
Conditions: The test is one-tailed.; The significance level is α.; The direction is specified by the alternative hypothesis (< or >).
A one-tailed test allocates the entire significance level α to its designated tail. Unlike a two-tailed test which splits α into α/2 for each tail, a one-tailed test places all of α in either the left or the right tail, depending on the direction specified by the alternative hypothesis.
Conditions: The test is one-tailed.; The significance level is α.; The direction is specified by the alternative hypothesis (< or >).