According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%). Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores. If you want you can use JASP for help with the calculations. Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05. a. State the hypotheses of the study. b. Find the critical t value for this study c. Compute the one-sample t test.
According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%). Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2.
Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%.
Hint - drop the % signs and use 5.45, 5.32, etc as the X scores. If you want you can use JASP for help with the calculations. Use 3 decimal places for the M, s, SEM.
The alpha level for the study was set to α=.05.
a. State the hypotheses of the study.
b. Find the critical t value for this study
c. Compute the one-sample t test.
d. Compute the Cohen's d for the data (even if not significant)
e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA format (include the numbers).
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