# Symbol for alternative hypothesis.

Notice that the top part of the statistic is the difference between the sample mean and the null hypothesis. The bottom part of the calculation is the standard error of the mean.

## Null hypothesis: μ = 72 Alternative hypothesis: μ ≠72

### How to Set Up a Hypothesis Test: Null versus Alternative

The inferential statistics do not directly address the testable statement (research hypothesis). They address the . Statistically, we test "not." Here are the null hypotheses:

### All null hypotheses include an equal sign in them.

When stated as a difference between groups, our hypothesis would be, “students with prior work experience earn higher grades than students without prior work experience.” This is called our research or scientific hypothesis. Because most statistics test for no difference, however, we must also have a null hypothesis. The null hypothesis is always written with the assumption that the groups do not differ. In this study, our null hypothesis would state that, “students with work experience will not receive different grades than students with no work experience.”

## Null Hypothesis | Definition of Null Hypothesis by Merriam-Webster

Because this is a **two-sided alternative** hypothesis, the p-value is the combined area to the right of 2.47 and the left of −2.47 in a t-distribution with 35 – 1 = 34 degrees of freedom.

## What is a Null Hypothesis? - Definition & Examples - …

If the *P*-value is less than (or equal to) α, then the null hypothesis is rejected in favor of the alternative hypothesis. And, if the *P*-value is greater than α, then the null hypothesis is not rejected.

## Null and Alternative Hypothesis | Real Statistics Using …

The p-value is p = 0.236. This is not below the .05 standard, so we do not reject the null hypothesis. Thus it is possible that the true value of the population mean is 72. The 95% confidence interval suggests the mean could be anywhere between 67.78 and 73.06.