Two pea plants with purple flowers are crossed. Among the offspring, 63 have pur
ID: 311662 • Letter: T
Question
Two pea plants with purple flowers are crossed. Among the offspring, 63 have purple flowers, and 17 have white flowers. With a chi-square test, compare the observed numbers with a 3:1 expected ratio and determine the probability that the difference between observed and expected could be a result of chance. Enter the appropriate numbers in the blanks provided. For answers requiring numbers, use two significant figures.
(a) chi square value ____
(b) degrees of freedom ____
(c) Are the results due to chance? Enter yes or no. ____
Explanation / Answer
Lets calculate the chi square take the value of numbers into the chi-square equation: (63 – 60)2/60 + (17 – 20)2 /20 = 0.15 + 0.45 = 0.6 (the chi-square statistic).
Degrees of freedom = the number of classes (phenotypes) – 1 = 2 – 1 = 1.
At one degree of freedom and value of 5%, we do not reject the hypothesis and thus the differences are a result of chance. We can further conclude that both purple parents are heterozygous at the single gene locus controlling flower color (at least for purple and white).
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