8. An organization published an article stating that in any one-year period, approximately 8.3 percent of adults in a country 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 population in the country.
Part (a)
Is this a test of one mean or proportion?
State the null and alternative hypotheses.
Is this a right-tailed, left-tailed, or two-tailed test?
What symbol represents the random variable for this test?
In words, define the random variable for this test.
Calculate the following.
(i) Enter your answer as a whole number.
x =
(ii) Enter your answer as a whole number.
n =
(iii) Enter your answer to two decimal places.
p' =
Part (g)
Calculate σx. (Round your answer to three decimal places.)
Show the formula set-up.
State the distribution to use for the hypothesis test.
Find the p-value. (Round your answer to four decimal places.)
