Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study.
Patient |
7-Minute Screen |
Cognitive Series |
|
A |
3 |
11 |
|
B |
8 |
19 |
|
C |
10 |
22 |
|
D |
8 |
20 |
|
E |
4 |
14 |
|
F |
7 |
13 |
|
G |
4 |
9 |
|
H |
5 |
20 |
|
I |
14 |
25 |
a) Compute the Pearson Correlation Coefficient for these data.
r =
b)The correlation is:
c)The null hypothesis for a two-tailed test is:
d)The alternative hypothesis in symbols for a two-tailed test is
e)If we use a two-tailed test with α = .01, the critical r values are:
f)Your decision is:
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