need help for this question. thank you.

PROBLEM 1 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. PROBLEM 2 An ice cream supplier claims that among the four most popular flavors, customers have these preference rates: 60% prefer vanilla, 20% prefer chocolate,11% prefer uhe, and 9% prefer huko. A random sample of 145 customers produces these results: Flavor Vanilla Chocolate Ube Buko Number of who prefer 100 25 10 10 Test claim that the percentages given by the supplier are correct. Use a= 0.05. PROBLEM 3 A genetics experiment involves 20E] 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 freq uency 30 22 62 86 200 Expected frequency 20 20 40 120 200 The hypothesis are: Ho: The Mendelian principles hold for the given characteristics. Ho: FA = 20; Fe = 20; FE = 40; FD = 120; HA: The Mendelian principles do not hold for the given characteristics