9.14 Practice 3: single proportion

Is this a test of means or proportions?

State the null and alternative hypotheses.

• a $H_o:$
• b $H_a:$

Is this a right-tailed, left-tailed, or two-tailed test? How do you know?

What symbol represents the Random Variable for this test?

In words, define the Random Variable for this test.

Calculate the following:

• a $x=$
• b $n=$
• c $\text{p}\text{'}=$

Calculate ${\sigma }_{p\text{'}}$ . Make sure to show how you set up the formula.

State the distribution to use for the hypothesis test.

Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized mean and the sample proportion, p-hat. Shade the area corresponding to the p-value.

Find the p-value

At a pre-conceived $\alpha =0\text{.}\text{05}$ , what is your:

• a Decision:
• b Reason for the decision:
• c Conclusion (write out in a complete sentence):

Does it appear that the proportion of people in that town with depression or a depressive illness is lower than general adult American population? Why or why not?