Step 1 State the hypotheses and the rejection rule.

In the TI-83/84 output, the “” tells us that we have a right-tailed test:

where represents the population proportion of quiz questions answered correctly. We will reject if the -value is less than the level of significance

Step 2 Find .

The “” in the TI-83/84 output gives us the value for .

Step 3 Find the -value.

Here, we need to be a little bit careful, because there are two items containing in the TI-83/84 output. Don't pick , which represents the sample proportion of successes. Instead, the -value is given as “.”

Step 4 State the conclusion and the interpretation.

The -value is less than the level of significance , so we reject . There is evidence that the population proportions of quiz questions answered correctly is greater than 0.75.

Step 1 State the hypotheses and the rejection rule.

The line “Test of vs ” tells us that we have the following two-tailed test.

where represents the population proportion of counties having at least one specialty store. We will reject if the -value is less than the level of significance .

Step 2 Find .

The “-value” of 1.46 in the Minitab output gives us the value for .

Step 3 Find the -value.

Under “P-Value,” Minitab gives us .

Step 4 State the conclusion and the interpretation.

The -value is not less than the level of significance , so we do not reject . There is insufficient evidence that the population proportions of counties having at least one specialty store differs from 0.62.