A social psychologist gave a questionnaire about concern for farm workers to seven participants before and after they attended a film about union organization of farm workers. The results are shown below with high scores meaning high concern. Using the .05 significance level, do these results support the hypothesis that the film affected concern for the lives of farm workers?
Scores on the Concern Measure
Participant Before After
A 17 20
B 7 4
C 10 11
D 13 15
E 8 5
F 9 8
G 11 14
a. Use the five steps of hypothesis testing.
b. Sketch the distributions involved.
c. Figure the effect size and find the approximate power of this study.
d. Explain the logic of what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample, including understanding decision errors, effect size and power, but who knows nothing about t tests of any kind (for example, you do not need to describe the steps or logic of hypothesis testing). Be sure you explain how this problem differs from a problem with a known population variance and a single sample. Your answer should consist mainly of a thorough explanation of the characteristics of the comparison distribution and all the figuring you did to determine those characteristics.
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