A genetic cross was made between two types of pea plants.  One type produces round and green seeds, while the other type produces wrinkled and yellow seeds.  A plant breeder crossed these two types and then allowed the F1 generation to self-fertilize.  The following data were obtained:

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A genetic cross was made between two types of pea plants.  One type produces round and green seeds, while the other type produces wrinkled and yellow seeds.  A plant breeder crossed these two types and then allowed the Fgeneration to self-fertilize.  The following data were obtained:

 

            F1 generation: all produce wrinkled and yellow seeds.

            Fgeneration: 157 produce wrinkled and yellow seeds

                                      57 produce wrinkled and green seeds

                                      54 produce round and yellow seeds

                                      20  produce round and green seeds

a) Propose a hypothesis that you think is consistent with the observed data.

b) Test the goodness of fit between the data and your hypothesis using a chi square test.

c) Explain what your calculated chi square results mean.

 

Chi Square Values and Probability
Null Hypothesis Rejected
Degrees of Freedom
P = 0.99
0.95
0.80
0.50
0.20
0.05
0.01
1.
0.000157
0.00393
0.0642
0.455
1.642
3.841
6.635
2.
0.020
0.103
0.446
1.386
3.219
5.991
9.210
3.
0.115
0.352
1.005
2.366
4.642
7.815
11.345
4.
0.297
0.711
1.649
3.357
5.989
9.488
13.277
5.
0.554
1.145
2.343
4.351
7.289
11.070
15.086
6.
0.872
1.635
3.070
5.348
8.558
12.592
16.812
7.
1.239
2.167
3.822
6.346
9.803
14.067
18.475
10.
15.
20.
∞ oi so
8.
1.646
2.733
4.594
7.344 11.030
15.507
20.090
9.
2.088
3.325
5.380
8.343 12.242
16.919
21.666
2.558
3.940
6.179
9.342 13.442
18.307
23.209
5.229
7.261
10.307
14.339 19.311
24.996
30.578
8.260
10.851
14.578
19.337 25.038
31.410
37.566
25.
11.524
14.611
18.940
24.337 30.675
37.652
44.314
30.
14.953
18.493
23.364
29.336 36.250
43.773
50.892
Transcribed Image Text:Chi Square Values and Probability Null Hypothesis Rejected Degrees of Freedom P = 0.99 0.95 0.80 0.50 0.20 0.05 0.01 1. 0.000157 0.00393 0.0642 0.455 1.642 3.841 6.635 2. 0.020 0.103 0.446 1.386 3.219 5.991 9.210 3. 0.115 0.352 1.005 2.366 4.642 7.815 11.345 4. 0.297 0.711 1.649 3.357 5.989 9.488 13.277 5. 0.554 1.145 2.343 4.351 7.289 11.070 15.086 6. 0.872 1.635 3.070 5.348 8.558 12.592 16.812 7. 1.239 2.167 3.822 6.346 9.803 14.067 18.475 10. 15. 20. ∞ oi so 8. 1.646 2.733 4.594 7.344 11.030 15.507 20.090 9. 2.088 3.325 5.380 8.343 12.242 16.919 21.666 2.558 3.940 6.179 9.342 13.442 18.307 23.209 5.229 7.261 10.307 14.339 19.311 24.996 30.578 8.260 10.851 14.578 19.337 25.038 31.410 37.566 25. 11.524 14.611 18.940 24.337 30.675 37.652 44.314 30. 14.953 18.493 23.364 29.336 36.250 43.773 50.892
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