Question

A researcher interviews 6 widows about their marriages and notices how many cats are wandering around. Is there a significant relationship between the number of times an old widow was married and the number of cats the old lady owns? ( You don't need to do the math to calculate it - the Pearson r is given).

Times Married: 1 1 2 2 3 3

Cats Owned: 3 2 4 5 5 6

Pearson r = +.91

Write up the conclusion for this study in APA format and be sure to include the r2.

Answer 1

Null and alternative hypothesis:  

Ho: ρ = 0  

Ha: ρ ≠ 0  

n = 6

Correlation, r = 0.91

Coefficient of determination, r² = 0.8281

Test statistic :    

t = r*√(n-2)/√(1-r²) = 0.91 *√(6 - 2)/√(1 - 0.91²) = 4.3897

df = n-2 = 4

p-value = T.DIST.2T(ABS(4.3897), 4) = 0.0118

Conclusion:  

p-value < α Reject the null hypothesis.

There is a significant relationship between the number of times an old widow was married and the number of cats the old lady owns.