McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
1. Trigonometric Functions in Right Triangles
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Exercise 63 Page 798

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

Practice makes perfect

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.

  • The null hypothesis H_0 is a statement of equality to be tested.
  • The alternative hypothesis H_a is a statement of inequality that is the complement of the null 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