Discuss the below:
Q: A clinical psychologist is treating 25 patients with clinical depression. She wants to find out whether these patients score differently than the general population on an emotional response scale with a population mean = 9.5. She is only interested in whether there is a difference, but not in the direction of the difference at this point. Perform a single-sample t-test to evaluate this hypothesis, for a TWO tail test.
Are the following answers correct, can you help me find the sample t, and can you help me with the following questions?
1. Are your results statistically significant? How did you make this decision?
2. What is your decision about your hypotheses based on these results? Include detailed statements about each hypothesis.
(range 0-15) Null Hypothesis (H0) µ = 25
Research Hypothesis (H1) µ /< = 25
One- or Two-tailed? TWO
Degrees of Freedom (df = N-1) 14.00
Population Mean (?) 25.00
Sample Standard Deviation (s) 2.29
Sample Mean (M) 5.68
Alpha 0.01
Critical t value (cut-off score) 2.98 , -2.98
Sample t
Critical p-value 0.01
Sample p-value 0.01