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Problem: Table of chi-square valuesImagine that you attempted to recreate Mendel's work with garden peas. You began by crossing true breeding violet-flowered, tall plants with white flowered dwarf plants. After self-crossing the F1 generation, you obtain the following phenotypes in the F2 generation:80 tall, violet flowers36 tall, white flowers39 dwarf, violet flowers5 dwarf, white flowersHow many tall plants with violet flowers were expected?How many tall plants with white flowers were expected?How many dwarf plants with violet flowers were expected?How many dwarf plants with white flowers were expected?Use a chi-square analysis to test the hypothesis that the F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation. Calculate the chi square value.Use a chi-square analysis to test the hypothesis that the F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment. Calculate the chi square value.

FREE Expert Solution

Cross of true-breeding parents:

For a dihybrid cross: 9:3:3:1 phenotypic ratio (9 tall+violet : 3 tall+white : 3 dwarf+violet : 1 dwarf+white)

For a monohybrid cross: 3:1 phenotypic ratio (3 tall or violet : 1 dwarf or white)


Total number of offsprings = 80 + 36 + 39 + 5 = 160 flowers


Expected tall+violet flowers = 160×99+3+3+1 = 90 flowers


Expected tall+white flowers = 160×39+3+3+1 = 30 flowers


Expected dwarf+violet flowers = 160×39+3+3+1 = 30 flowers


Expected dwarf+white flowers = 160×19+3+3+1 = 10 flowers

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Problem Details

Table of chi-square values

Imagine that you attempted to recreate Mendel's work with garden peas. You began by crossing true breeding violet-flowered, tall plants with white flowered dwarf plants. After self-crossing the F1 generation, you obtain the following phenotypes in the F2 generation:

80 tall, violet flowers

36 tall, white flowers

39 dwarf, violet flowers

5 dwarf, white flowers


How many tall plants with violet flowers were expected?


How many tall plants with white flowers were expected?


How many dwarf plants with violet flowers were expected?


How many dwarf plants with white flowers were expected?


Use a chi-square analysis to test the hypothesis that the F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation. Calculate the chi square value.


Use a chi-square analysis to test the hypothesis that the F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment. Calculate the chi square value.

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Based on our data, we think this problem is relevant for Professor Morrison's class at UIC.