Compute the Pearson Correlation Coefficient for these data. r = The correlation is: Medium and negative Large and negative Large and positive Medium and positive The alternative hypothesis in words for a two-tailed test is The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is significant The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is not significant The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is less than zero The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is greater than zero The null hypothesis in symbols for a two-tailed test is H0: ρ = 0 H0: ρ ≠ 0 H0: r = 0 H0: r ≠ 0 If we use a two-tailed test with α = .01, the critical r values are: ±0.833 ±0.874 ±0.754 ±0.669 Your decision is: Reject the null hypothesis and conclude that there is a significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series Fail to reject the null hypothesis and conclude that there is a significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series Reject the null hypothesis and conclude that there is no significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series Fail to reject the null hypothesis and conclude that there is no significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series
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 |
7 |
B |
7 |
15 |
C |
4 |
14 |
D |
5 |
13 |
E |
7 |
9 |
F |
5 |
15 |
G |
11 |
25 |
Compute the Pearson
r =
The correlation is:
Medium and negative
Large and negative
Large and positive
If we use a two-tailed test with α = .01, the critical r values are:
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