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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 found to be 0.19489. The significance level is α = 0.05.
Step-by-step explanation
Step 1.
Since the p value of 0.19489 is greater than the significance level of 0.05, there is insufficient evidence to reject the null hypothesis.
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