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In tomatoes, one gene determines whether the plant has purple (G) or green (g) s

ID: 198659 • Letter: I

Question

In tomatoes, one gene determines whether the plant has purple (G) or green (g) stems, and another locus determines whether the leaves are "cut" (P) or "potato" (p). A true-breeding plant with purple stem and cut leaves is crossed with a true-breeding plant having green stem and potato leaves. The F plants are then allowed to self-pollinate. The F2 generation consisted of 310 plants with purple stem, cut leaves; 31 plants with gren stem, potato leaves; 120 plants purple stem, potato leaves; and 129 plants with green stem,cut laves Using the chi-square tes, determine if this outcome is consistent with the predicted ratios for this cross. Provide the null and alternative hypotheses, chi-square statistic, P-value, and a conclusion. (10 pts)

Explanation / Answer

Null hypothesis: The observed values are not deviating from the 9:3:3:1 ratio.

Altenative hypothesis : The observed values are deviating from the 9:3:3:1 ratio.

Test static – Chisquare test:

Category

Purple Cut

Purple Potato

Green cut

green potato

Total

Observed values

310

120

129

31

590

Exptected Ratio

9

3

3

1

16

Exprected Values

331.875

110.625

110.625

36.875

Deviation

-21.875

9.375

18.375

-5.875

D^2

478.5156

87.89063

337.6406

34.51563

D^2/E

1.441855

0.794492

3.052119

0.936017

6.224482

X^2

6.224482

Degrees of freedom

4

-

1

3

Conclusion / Inference: The calculated chisquare value i.e. 6.22 is lessthan the table value i.e. 7.82 at 3 DF and 0.05 probability, hence the null hypothesis is accepted. Which means this traits following the mendilian mode of inheritance pattern.

Category

Purple Cut

Purple Potato

Green cut

green potato

Total

Observed values

310

120

129

31

590

Exptected Ratio

9

3

3

1

16

Exprected Values

331.875

110.625

110.625

36.875

Deviation

-21.875

9.375

18.375

-5.875

D^2

478.5156

87.89063

337.6406

34.51563

D^2/E

1.441855

0.794492

3.052119

0.936017

6.224482

X^2

6.224482

Degrees of freedom

4

-

1

3

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