NOW SOLVE THIS 3-4In one of Mendel\'s dihybrid crosses, he observed 315 round, y

Question

NOW SOLVE THIS 3-4In one of Mendel's dihybrid crosses, he observed 315 round, yellow, 108 round, green, 101 wrinkled, yellow, and 32 wrinkled, green F2 plants. Analyze these data using the x test to see if (a) they fit a 9:3:3:1 ratio. (b) the round:wrinkled data fit a 3:1 ratio. (c) the yellow:green data fit a 3:1 ratio HINT: This problem asks you to apply x 2 analysis to a set of data and to determine whether those data fit any of several ratios. The key to its solution is to first calculate x2 by initially determining the expected outcomes using the predicted ratios. Then follow a stepwise approach, determining the deviation in each case, and calculatin d/e for each category. Once you have determined the x2 value you must then determine and interpret the p value for each ratio

Explanation / Answer

Ans:

Assume significance level=0.05

a)Expected count=pi*556

Chi square test statistic=0.470

df=4-1=3

p-value=CHIDIST(0.470,3)=0.9254

As,p-value>0.05,we fail to reject the null hypothesis and we can conclude that above data fits the ratio 9:3:3:1

b)

Chi square test statistic=0.345

df=2-1=1

p-value=CHIDIST(0.345,1)=0.5568

As,p-value>0.05,we fail to reject the null hypothesis and we can conclude that above data fits the ratio 3:1

c)

Chi square test statistic=0.010

df=2-1=1

p-value=CHIDIST(0.010,1)=0.9220

As,p-value>0.05,we fail to reject the null hypothesis and we can conclude that above data fits the ratio 3:1

Type Observed(O) pi Expected(E) (O-E)^2/E round yellow 315 9/16 312.75 0.016 round green 108 3/16 104.25 0.135 wrinkled yellow 101 3/16 104.25 0.101 wrinkled green 32 1/16 34.75 0.218 Total= 556 1 556 0.470

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