I have observed values (80 in total) in different measured circumstances (80 in total). I want to test whether my observed values are the result of chance or do measured values affect my observed values.
My problem is that measured values are non-normally distributed and observed values are normally distributed according to Shapiro-Wilk test which I run on SPSS. Measured values' p-value was 0,001 in that test and observed values' p-value was 0,102 in that test.
What test should I use that I would know that are my observed values statistically significant? All I need to test is that are my observed values result of chance or did measured values affect them.
If I use t-test, are both measured and observed values required to be normally distributed?
Thank you for reading, any help is appreciated