You observe the following phenotypic ratio in the F2 of the maize cross describe
ID: 187846 • Letter: Y
Question
You observe the following phenotypic ratio in the F2 of the maize cross described in Part A: 100 long-stalked, colored seed plants: 10 long-stalked, colorless seed plants 10 short-stalked, colored seed plants 40 short-stalked, colorless seed plants. Using aX2 test, you test your hypothesis that the two traits are inherited independently and each determined by a single gene with one allele completely dominant to the other. Perform a chi-squared test on on these results. Which results are closest to those you calculated? Reminder: Your hypothesis was that the two traits were inherited independently and that each trait was determined by a single gene. O x® x2-0.74, d.f.-1,P0.05, reject the hypothesis x2-118, d.f.-3,P0.05, reject the hypothesis 1.8, df. = 3, P > 0.05, DO NOT reject the hypothesis x2 = 0.74, d.f. = 3, P > 0.05, DO NOT reject hypothesis x2118, d.f. 1, P 0.05, DO NOT reject the hypothesisExplanation / Answer
The answer is X2=118. d.f= 3, p<0.05, reject the hypothesis.
For explanation find the below calculation
Null hypothesis: The observed values are not deviating from the expected ratio 9:3:3:1.
Test static – Chi square:
Category
Long colored
Long colorless
Short colored
Short colorless
Total
Observed values
100
10
10
40
160
Exptected Ratio
9
3
3
1
16
Exprected Values
90
30
30
10
Deviation
10
-20
-20
30
D^2
100
400
400
900
D^2/E
1.111111
13.33333
13.33333
90
117.7778
X^2
117.7778
Degrees of freedom
4
-
1
3
Inference: The calculated chisquare value i.e. 117.77 ~ 118 is greater than the table value i.e.7.82 at 3 DF and 0.05 probability, hence the null hypothesis is rejected.
Category
Long colored
Long colorless
Short colored
Short colorless
Total
Observed values
100
10
10
40
160
Exptected Ratio
9
3
3
1
16
Exprected Values
90
30
30
10
Deviation
10
-20
-20
30
D^2
100
400
400
900
D^2/E
1.111111
13.33333
13.33333
90
117.7778
X^2
117.7778
Degrees of freedom
4
-
1
3
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