Failing to reject the null hypothesis means that the sample provides insufficient evidence against it. It is not a proof that the null is true; it simply indicates that the data do not contradict the null hypothesis strongly enough to warrant rejection.
Conditions: A hypothesis test has been conducted.; The decision is to fail to reject H0.
Failing to reject the null hypothesis means that the sample provides insufficient evidence against it. It is not a proof that the null is true; it simply indicates that the data do not contradict the null hypothesis strongly enough to warrant rejection.
Conditions: A hypothesis test has been conducted.; The decision is to fail to reject H0.
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.