A researcher crossed several randomly-chosen pink tree peonies (Paeonia suffruti

Question

A researcher crossed several randomly-chosen pink tree peonies (Paeonia suffruticosa) in order to test a genetic model of inheritance. She expected to see offspring colors in the ratio of 12:3:1, red:pink:white. Below are the observed color proportions of the 83 plants in the study.

Observed Proportions of Progeny Colors

Red

Pink

White

0.747

0.205

0.04

(6 pts) Conduct a hypothesis test to determine if the observed proportions significantly differ from the expected ratio. Show all your work and include all steps (including your assumptions!) for full credit.

Observed Proportions of Progeny Colors

Red

Pink

White

0.747

0.205

0.04

Explanation / Answer

after applying chi square goodness of fit on above

here degree of freedom =2

and for above chi stat =0.41 ; p value =0.8164

as p vlaue is higher then 0.05 level we can not reject null hypothesis.

and can not conclude that observed proportions significantly differ from the expected ratio.

observed Expected Chi square P O E=total*p =(O-E)^2/E red 0.75 62 62.25 0.00 pink 0.19 17 15.56 0.13 white 0.06 4 5.19 0.27 83 83 0.41

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