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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