A goodness-of-fit test is designed to deal with multiple categories at once. See Section 6.7 for more details. A crop researcher investigated the phenotypes that resulted from crossing two different types of tomato 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 1611 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model).
A goodness-of-fit test is designed to deal with multiple categories at once. See Section 6.7 for more details.
A crop researcher investigated the phenotypes that resulted from crossing two different types of tomato 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 1611 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model).
According to the model, what is the expected number of observations in this sample that would be Phenotype 4?
Expected number =
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