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

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.

Our null hypothesis is that it is not.

the opposite of the research hypothesis. The null hypothesis states that any effects observed after treatment (or associated with a predictor variable) are due to chance alone. Statistically, the question that is being answered is "If these samples came from the same population with regard to the outcome, how likely is the obtained result?"

This statistic is then used for testing the above null hypothesis.

As such, by taking a hypothesis testing approach, Sarah and Mike want to generalize their results to a population rather than just the students in their sample. However, in order to use hypothesis testing, you need to re-state your research hypothesis as a null and alternative hypothesis. Before you can do this, it is best to consider the process/structure involved in hypothesis testing and what you are measuring. This structure is presented .

Learn About Null Hypothesis and Alternative Hypothesis

The p-value is p = 0.019. This is below the .05 standard, so the result is statistically significant. This means we decide in favor of the alternative hypothesis. We're deciding that the population mean is not 72.