IN order to test whether the A and B loci assort independent

IN order to test whether the A and B loci assort independently, a researcher performed the cross Aa Bb X aa bb and obtained 19, 10,14, and 5 offspring of phenotypes A_b_, A_bb, aaB_, aabb respectively. They then used a Chi-square test to compare te observed numbers to the expectations under the hypothesis of independence. they obainted the statistic 8.8333 with three degrees of freedome, which corresponds ro a p value of .03159. answer true if the test was performed and false if it is wrong.

Solution

^2 Test Statistic =8.8333
^2 degrees of freedom= (n-1) = 3, tabulated value is 7.815              
^2 p_value =03159              
| ^2 tab | < | ^2 cal |, 7.815 < 8.8333 i.e.Reject Ho              
False, test was n\'t performed