Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_uu-Test-for-correlation-800-en_uu-Test-for-correlation-800-en
   name	uu-Test-for-correlation-800-en
   section	Inferential Statistics/Parametric Techniques/t-test/Test for correlation
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	Case
   Language	English
   Level	Statistical Literacy

   Question

   A researcher administered questionnaires to 25 randomly selected employees of a company. The questionnaires measure feelings of worry, stress level, and other social-emotional aspects, among others. The researcher wants to test whether the correlation between worry and stress is significant among $\alpha=.01$ and wants a $t$-test. TRUE is the minimum value of the correlation it must find so that the $t$-test will yield significant results?

   
   
   1. TRUE: .505
   2. FALSE: .487
   3. FALSE: .396
   4. FALSE: .462
   
   

   Solution

   When using a correlation table, we can look up the critical value. This involves a simple (Pearson) correlation, and a two-sided test. We should then look for at $df=n-2=25-2=23$ and at $\alpha=.01$. The correct critical value is then: $r=.505$

   
   
   1. Correct
   2. Zoekand at $df=25$ delivers: $r=.487$
   3. Zoekand at $\alpha=.05$ delivers: $r=.396$
   4. Eenzijdige waarde delivers: $r=.462$