Offspring of certain fruit flies may have yellow or ebony bodies and normal wings or short wings. Genetic theory predicts that these traits will appear in the ratio 9:3:3:1 {9 yellow, normal: 3 yellow, short: 3 ebony, normal: 1 ebony, short}. A researcher checks 114 such flies and finds the distribution of the traits to be 60,19,28, and 3', respectively. Are the results this researcher observed consistent with the theoretical distribution predicted by the genetic model? Perform an appropriate test and state your conclusion in context. Use a = .05 significance leveL Report all answers accurate to 1 decimal places. Ho : The fruit flies are in ratio 9: 3: 3: 1 Ha : The fruit flies are not in ratio 9: 3: 3: 1 Complete the table. {I t Observed Expected a egory Frequency Frequency YS 19 l E-\" l 23 l l E-S T What is the chi-square test-statistic for this data? 2 X 2 What are the degrees of freedom? What is the P-value? round to 4 decimals What is the chi-square test-statistic for this data? 2 X 1 decimal What is the P-value for this sample? P-value = 3 decimalsAccording to the Mars Candy Company, peanut MaM's are 12% brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green. On a Saturday when you have run out of statistics homework, you decide to test this claim at a significance level of 0.02. You purchase a medium bag of peanut M&M's. What are the Ho and Ha hypotheses? Ho : Ha : Complete this table. The sum of the observed frequencies is 90 Observed Expected X Frequency Mars Percents Frequency (Counts) (Counts) Brown 7 . 12 Yellow 20 15 Red 14 .12 Blue 23 .23 Orange 21 .23 Green 5 .15