1. In the snapdragon (Antirrhinum majus), individual plants can be red flowered, pink flowered, or white flowered. According to a certain Mendelian genetic model, self-pollination of pink-flowered plants should produce progeny that are red, pink, and white in the ratio 1:2:1. A genetic self-pollinated pink-flowered snapdragon plants and produced 234 progeny with the following colors:
Type | Red | Pink | White |
Number | 54 (58.5) | 122 (117.0) | 58 (58.5) |
Test the null hypothesis that the three colors occur with
probabilities ¼, ½, and ¼. Use a chi-square test with α = 0.10.
a.
H0:
HA:
b. Compute the chi-square test statistic.
c. Compute the p-value for the test.
d. Make a conclusion based on the p-value in c.
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