A researcher suspects that the actual prevalence of depression among children and adolescents is higher than was previously reported. The previously reported prevalence for depression among children and adolescents was 12.5%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of depression among children and adolescents by recruiting 100 total children or adolescents and tests them for depression using the DSM-5. The researcher determines that the prevalence of depression from the study is 12.9% and the standard deviation was 0.4. What should the researcher’s conclusion be for a 5% significance level? A) We reject H0 at the 5% level because 10 is greater than 1.96. We do have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the previously reported prevalence of 12.5%. B) We fail to reject H0 at the 5% because -10 is less than 1.645. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the previously reported prevalence of 12.5%. C) We fail to reject H0 at the 5% because -10 is less than 1.96. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the previously reported prevalence of 12.5%. D) We fail to reject H0 at the 5% because 10 is greater than -1.645. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the previously reported prevalence of 12.5%.

21. A researcher suspects that the actual prevalence of depression among children and adolescents is higher than was previously reported. The previously reported prevalence for depression among children and adolescents was 12.5%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of depression among children and adolescents by recruiting 100 total children or adolescents and tests them for depression using the DSM-5. The researcher
determines that the prevalence of depression from the study is 12.9% and the standard deviation was 0.4. What should the researcher’s conclusion be for a 5% significance level?

A) We reject H0 at the 5% level because 10 is greater than 1.96. We do have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the
previously reported prevalence of 12.5%.

B) We fail to reject H0 at the 5% because -10 is less than 1.645. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the
previously reported prevalence of 12.5%.

C) We fail to reject H0 at the 5% because -10 is less than 1.96. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the
previously reported prevalence of 12.5%.

D) We fail to reject H0 at the 5% because 10 is greater than -1.645. We do not have statistically significant evidence to show the actual prevalence of depression among children and adolescents is above the
previously reported prevalence of 12.5%.