In the snapdragon (Antirrhinum ma jus), 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 geneticist self-pollinated pink-flowered snapdragon plants and produced 234 progeny with the following colors:

Test the null hypothesis that the three colors occur with probabilities 1/4,1/2, and 1/4. Use a chi-square test with α = 0.10.

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Type Number 54 Red Pink White 122 58