Chapter 9, Problem 73H

The National Institute of Mental Health published an article stating that In any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that In a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine If the true proportion of people In that town suffering from depression or a depressive illness Is lower than the percent in the general adult American population.

a. Is this a test of one mean or proportion?

b. State the null and alternative hypotheses.

H₀:___________ H_a:___________ .

c. Is this a right-tailed, left-tailed, or two-tailed test?

d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

f. Calculate the following:

i. x= _____________

ii n= ____________

iii. p’ = ____________

g. Calculate = ________. Show the formula set-up.

h. State the distribution to use for the hypothesis test.

1. Find the p-value.

j. At a pie-conceived a 0.05. what Is your:

i. Decision:

ii. Reason for the decision:

iii. Conclusion (write out in a complete sentence):