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 100 such flies and finds the distribution of the traits to be 59, 20, 11, and 10, 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.

 $\displaystyle {H}_{{o}}$: The categories appear in ratio 9:3:3:1

 $\displaystyle {H}{a}:$ The categories do not appear in in ration 9:3:3:1

Complete the table. Report all answers accurate to three decimal places.

Category	Observed Frequency	Expected Frequency	Residual	A.	B5	C6	D2

What is the chi-square test-statistic for this data?
$\displaystyle \chi^{{2}}=$

For significance level alpha 0.01, what is the chi-square Critical Value?
Critical Value =

What would be the conclusion of this hypothesis test?

Report all answers accurate to three decimal places.