In: Statistics and Probability
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 |
1. Compute the Pearson Correlation Coefficient for these data.
r =
1b.
The correlation is
Group of answer choices
a. Medium and negative
b. Large and negative
c. Large and positive
d. Medium and positive
1a.
The alternative hypothesis in words for a two-tailed test is
Group of answer choices
a. The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is significant
b. The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is not significant
c. The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is less than zero
d. The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is greater than zero
1b.
The null hypothesis in symbols for a two-tailed test is
Group of answer choices
a. H1: ρ = 0
b. H1: ρ ≠ 0
c. H1: r = 0
d. H1: r ≠ 0
1c
If we use a two-tailed test with α = .01, the critical r values are:
Group of answer choices
a. ±0.833
b. ±0.874
c. ±0.754
d. ±0.669
1d.
Your decision is:
Group of answer choices
a. 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
b. 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
c. 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
d. 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
1e.
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