An organization published an article stating that in any one-year period, approximately 10.2% of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine 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.
1. Calculate the following.
a. x =
b. p' =
c. n =
2. Calculate σx.
3. Find the p-value.