## ? Identify the null hypothesis and the alternative hypothesis.

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

? Identify the null hypothesis and the alternative hypothesis.

? Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

? Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.

? Is there sufficient evidence to support the manager’s claim that the five types of mugs are equally popular? Justify your answer.

? A STAT 200 instructor believes that the average quiz score is a good predictor of final exam score. A random sample of 10 students produced the following data

where x is the average quiz score and y is the final exam score.

### I’m stuck on how to value the null or alternative hypotheses

Other common valuesfor alpha are 0.01 and 0.001.After stating the null and alternativehypothesis and setting the alpha level, the next step in the process is to drawa random sample from the population.

Step 4: We compare the *p*-value to alpha, which we will let alpha be 0.05. Since 0.0044 is less than 0.05 we will reject the null hypothesis and decide in favor of the alternative, *H*_{a}.

## Identify the null hypothesis and the alternative hypothesis

Second, you need to keep in mind that the null and alternative hypotheses DO NOT OVERLAP. This implies that for the most part you can tell the null hypothesis if you know the alternative hypothesis, and vice versa, with some exceptions as we will see in the next paragraph.

## Question Null hypothesis and alternative hypothesis examples

Before actually conducting a hypothesis test, you have to put two possible hypotheses on the table — the null hypothesis is one of them. But, if the null hypothesis is rejected (that is, there was sufficient evidence against it), what’s your alternative going to be? Actually, three possibilities exist for the second (or alternative) hypothesis, denoted H_{a}. Here they are, along with their shorthand notations in the context of the pie example:

## Null hypothesis and alternative hypothesis examples

First thing to keep in mind is the precise specification of the null and alternative hypotheses can be inferred from the wording on the actual problem. Somewhere in the setting of the problem you will find where the hypotheses are stated.

## Null and Alternative Hypothesis | Real Statistics Using …

One thing that can be tricky when attempting to solve a hypothesis testing problem is to establish precisely what the null and alternative hypotheses are. Typically, such information can be easily inferred from the context of the problem, but you need to know what to look for in order to get it right.

## Identifying Null and Alternative Hypotheses - BrainMass

When you set up a hypothesis test to determine the validity of a statistical claim, you need to define both a null hypothesis and an alternative hypothesis.