A study by the Fellows Research Group evaluated the mental health status of 150 women in the inner city of Philadelphia. The results of the study are in an Excel file in the Week 2 assignment area and in the “Course Resources” area. Load the data set into StatCrunch and perform a one sample t test on the mental health score given that the national average on this test is 45. Is the result significant? Copy and paste your StatCrunch output into your submission document for full credit.
Observe the statcrunch video for one sample t test
Hints: do you have two independent (unrelated) groups? Also, confirm that your DV is interval or ratio; you cannot have a nominal DV. You cannot have three groups (three groups require ANOVA).
The IV is_____? The DV is _______?
One sample T hypothesis test:
μ : Mean of variable
H0 : μ = 45
HA : μ ≠ 45
Hypothesis test results:
Variable | Sample Mean | Std. Err. | DF | T-Stat | P-value |
---|---|---|---|---|---|
MentalHlth | 45.88 | 0.89021125 | 149 | 0.98852941 | 0.3245 |
id | MentalHlth | Marital | FeltDown | GPCOG |
180001 | 54 | Married | None of the time | 14 |
180002 | 55 | Married | Some of the time | 5 |
180003 | 51 | Divorced | Some of the time | 12 |
180004 | 52 | Never married | Some of the time | 7 |
180005 | 49 | Never married | Some of the time | 9 |
180006 | 54 | Married | Little of the time | 15 |
Dependent variable must be a ratio or interval, so the dependent variable is mental health because it is dependent on the marital status and feltdown variable
So,DV = mental health
Independent variable be categorical because independent variables are not dependent on any other variable. So, independent variables are marital status and Feltdown
therefore, IV = marital status and Feltdown
Using the given output data table
test statistic t is 0.988 with p value = 0.3245
So, p value is greater than 0.05 significance level, fail to reject the null hypothesis
So, result is insignificant at 0.05 level of significance
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