AcaStat Statistical Software

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Contents  Introduction Descriptive Hypothesis Tables Appendix

Example: Hypothesis Testing For Pearson r

Based on a Pearson r of .933 for annual income and education obtained from a national random sample of 20 employed adults.
 
 

State the Hypothesis

Ho: There is no association between annual income and education for employed adults.

Ha: There is an association between annual income and education for employed adults.

Set the Rejection Criteria df = 20-2 or df = 18

tcv @ .05 alpha (2-tailed) = 2.101

Compute Test Statistic

Decide Results Since the test statistic 11.022 exceeds the critical value 2.101, there is a statistically significant association in the national population between an employed adult's education and their annual income.