Question 1. A genetics experiment involves 200 mice and is designed to determine whether Mendelian principles hold for a certain list of characteristics. The following table summarizes the actual experimental results and the expected Mendelian results for the four characteristics being considered. At the a = 0.01, test the claim that Mendelian principles hold.

Characteristics A B C D Total

Observed frequency 30 22 62 86 200

Expected frequency 20 20 40 120 200

The hypothesis are:

H0: The Mendelian principles hold for the given characteristics. H0: FA = 20;

FB = 20; FC = 40; FD = 120;

HA: The Mendelian principles do not hold for the given characteristics.

Question 2. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of theses mix nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans. At the 0.05 level of significance, test the hypothesis that the machine is mixing the nuts in the ratio 5:2:2:1.

Note: Table the answer

All answer must be complete