A researcher hypothesizes that short term memory predictsvocabulary knowledge. A random sample of Army recruits is selectedand given the digit span (a short term memory test) and vocabularysubtests of the Wechsler Adult Intelligence Scale (WAIS). The dataare below. What can be concluded with an α of 0.05?
| digit span | vocabulary |
|---|
9
6
12
7
10
5
9
10
8
8
11
9 | 8
12
8
11
7
11
7
9
10
9
8
10 |
a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:Â Â
b) Compute the appropriate test statistic(s) tomake a decision about H0.
(Hint: Make sure to write down the null and alternative hypothesesto help solve the problem.)
p-value =Â Â ; Decision:Â Â ---Select---Reject H0 Fail to reject H0
c) Using the SPSS results,compute the corresponding effect size(s) and indicatemagnitude(s).
If not appropriate, input and/or select \"na\" below.
Effect size =Â Â ; Â Â ---Select--- na trivialeffect small effect medium effect large effect
d) Make an interpretation based on theresults.
Better short term memory significantly predicts morevocabulary.Better short term memory significantly predicts lessvocabulary.    Short term memory does notsignificantly predict vocabulary.
