Check whether the data from this experiment is consistent with Mendel’s laws at 0.01 significance level.

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Chapter 12.1, Problem 13E

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Check whether the data from this experiment is consistent with Mendel’s laws at 0.01 significance level.

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A particular article reported the accompanying data on phenotypes resulting from crossing tall cut-leaf tomatoes with dwarf potato-leaf tomatoes. There are four possible phenotypes: (1) tall cut-leaf, (2) tall potato-leaf, (3) dwarf cut-leaf, and (4) dwarf potato-leaf. Mendel's laws of inheritance imply that ?1 = 9/16, ?2 = 3/16, ?3 = 3/16, and ?4 = 1/16. Are the data from this experiment consistent with Mendel's laws? Use a 0.01 significance level. (Use 2 decimal places.) Phenotype 1 2 3 4 Frequency 926 287 294 103 ?2 = P-value interval A p < 0.0010 B .001 ≤ p < 0.01 C 0.01 ≤ p < 0.05 D 0.05 ≤ p < 0.10 E p ≥ 0.10

The paper "Linkage Studies of the Tomato" (Transactions of the Canadian Institute, 1931) reported the following data on phenotypes resulting from crossing tall cut-leaf tomatoes with dwarf potato-leaf tomatoes. We wish to investigate whether the following frequencies are consistent with genetic laws, which state that the phenotypes should occur in the ratio 9:3:3:1. Dwarf potato 104 Phenotype Frequency Tall cut 926 Tall potato 288 Dwarf cut 293 We want to test Ho: The proposed 9:3:3:1 genetic model is correct versus Ha: The proposed 9:3:3:1 genetic model is not correct. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. At the α = 0.05 significance level, what can be concluded about the proposed genetic model? Because the P-value of 0.6895 > 0.05, we cannot reject the null hypothesis. We do not have convincing evidence that the distribution of phenotypes is different from what the biologists predict. Because the P-value of 0.5177 > 0.05, we cannot reject the…

A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model). Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom =