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A psychologist is using behavioral therapy in an attempt to increase a depressed patient’s number of...

A psychologist is using behavioral therapy in an attempt to increase a depressed patient’s number of social interactions (outings with friends) over the course of a month. Research has suggested that among depressed patients the average number of social interactions in a month is 2, with a standard deviation of 0.8. During the month of behavioral therapy, the patient engaged in 4 social interactions. Using an alpha level of .01, did the behavioral therapy produce a significant difference?

1. What would be the most appropriate statistical procedure to evaluate this hypothesis (e.g. z-test for a single individual, z-test for a single sample, t-test for a single sample)?

2. Why would this be the correct test?

3. Use the steps of hypothesis testing to evaluate this hypothesis. a. State the hypotheses. b. Determine the critical value(s) of your statistic for rejecting the null based on the given alpha level/sample size/hypothesis. c. Calculate the statistic. d. Based on this statistic would you accept or reject the null hypothesis?

4. If conducting a single sample z-test or a single sample t-test, calculate the effect size. 5. Draw a conclusion about the overall support provided for the research hypothesis.

Math   Statistics-And-Probability   
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