Prepare a written response to the following questions.
Chapter 4
14. Based on the information given for the following studies, decide whether to reject the null hypothesis. Assume that all populations are normally distributed. For each, give:
a. The Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected.x
b. The Z-score on the comparison distribution for the sample score.
c. Your conclusion.
Study |
µ |
σ |
Sample |
p |
Tails of Tests |
A |
5 |
1 |
7 |
0.05 |
1 (high predicted) |
B |
5 |
1 |
7 |
0.05 |
2 |
C |
5 |
1 |
7 |
0.01 |
1 (High predicted) |
D |
5 |
1 |
7 |
0.01 |
2 |
18. Using the .01 level, what should the researcher conclude? Solve this problem explicity using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution.
b) Explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).
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