A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 4.1%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians’ offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.8%. For a level of significance of 5%, what should the researcher’s decision rule look like? Reject H0 if z is less than or equal to -1.96. Reject H0 if z is greater than or equal to 1.96. Reject H0 if z is less than or equal to -1.645. Reject H0 if z is greater than or equal to 1.645.
A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 4.1%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians’ offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.8%. For a level of significance of 5%, what should the researcher’s decision rule look like?
- Reject H0 if z is less than or equal to -1.96.
- Reject H0 if z is greater than or equal to 1.96.
- Reject H0 if z is less than or equal to -1.645.
- Reject H0 if z is greater than or equal to 1.645.
From the provided information,
Sample size (n) = 98
Sample proportion (p̂) = 0.068
Level of significance (α) = 0.05
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