1. A researcher suspects that the actual prevalence of depression among children and ado lescents 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 Ho 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 Ho 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 Ho 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 Ho 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%.
1. A researcher suspects that the actual prevalence of depression among children and ado lescents 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 Ho 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 Ho 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 Ho 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 Ho 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%.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Transcribed Image Text:1. A researcher suspects that the actual prevalence of depression among children and ado lescents 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 Ho 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 Ho 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 Ho 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 Ho 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%.
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