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# Statistical Analysis and P-Value

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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?

(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

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#### Solution Preview

Hi there,

Thanks for letting me work on your post. I've included my explanation below.
Thanks.
Tony

(range 0-15) Null Hypothesis (H0) µ = 9.5
Research Hypothesis (H1) µ > or < 9.5
One- or Two-tailed? TWO

Degrees of Freedom (df ...

#### Solution Summary

The statistical analysis and p-values are examined. The decision about your hypothesis based on the results are determined.

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