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 108 such flies and finds the distribution of the traits to be 49,22,19, and 18, 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 $\displaystyle \alpha$ = .025 significance level.

Report all answers accurate to 1 decimal places.

$\displaystyle {H}_{{o}}$ : The fruit flies are in ratio $\displaystyle {9}:{3}:{3}:{1}$
$\displaystyle {H}_{{a}}$ : The fruit flies are not in ratio $\displaystyle {9}:{3}:{3}:{1}$

Complete the table.

Category	Observed Frequency	Expected Frequency	ChiSquare Residuals
Y-N	49
Y-S	22
E-N	19
E-S	18

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

What are the degrees of freedom?

What is the P-value? round to 4 decimals

The P-value = : What is your decision?

State the conclusion in context: