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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 p value is 0.19489 and the significance level is 0.05.

 

Step-by-step explanation

Step 1.

Since the p value is greater than the significance level, there is not enough evidence to reject the null hypothesis.

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