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The null hypothesis is a statement of equality to be tested. The alternative hypothesis is a statement of inequality that is the complement of the null hypothesis.
H_0: μ = 3
H_a: μ ≠3
Claim: μ = 3
A hypothesis test is used to asses a specific claim about the mean of a population.
| Typical Claims About the Mean | ||
|---|---|---|
| The mean is equal to a specific value. | The mean is greater than a specific value. | The mean is less than a specific value. |
There are two parts to a hypothesis test — the null hypothesis and the alternative hypothesis.
A claim can be part of the null or alternative hypothesis. With the above facts in mind, let's consider the given statement.
|
A deli sign says that one 12-inch turkey sandwich contains three ounces of meat. |
Notice that deli sign's claim is a statement of equality. Therefore, we can relate the claim with the null hypothesis. Consequently, the alternative hypothesis is the complement.
| Null Hypothesis | Alternative Hypothesis |
|---|---|
| The mean is equal to 3 ounces (claim) H_0:μ = 3 |
The mean is not equal to 3 ounces H_a:μ ≠3 |