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Problem

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16 Nov 2021

Given information

9.5 percent of American adults suffer from depression or a depressive illness. In a survey of 100 adults in a town, 7 of them suffered from depression or depressive illness. 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 is to be conducted.
 
From the previous task, the sample proportion is p'=0.07 while the hypothesized proportion is p=0.095. The sample size is n=100. The distribution to be used is .

Step-by-step explanation

Step 1.

The formula for the z score is:

   

Substitute :

 

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