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

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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 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 0.1854 > 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 0.6895 > 0.05, we cannot reject the null hypothesis. We do have convincing evidence that the
distribution of phenotypes is the same as what the biologists predict.
Because the P-value of 0.6895 > 0.05, we reject the null hypothesis in favor of the alternate. We do have convincing
evidence that the distribution of phenotypes is different from what the biologists predict.
Transcribed Image Text: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 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 0.1854 > 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 0.6895 > 0.05, we cannot reject the null hypothesis. We do have convincing evidence that the distribution of phenotypes is the same as what the biologists predict. Because the P-value of 0.6895 > 0.05, we reject the null hypothesis in favor of the alternate. We do have convincing evidence that the distribution of phenotypes is different from what the biologists predict.
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