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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 =

The test is carried out at significance level α = 0.05 using the method described in the lecture notes.

If the decision is to not reject the null hypothesis, what is the appropriate conclusion for the test?  Select the appropriate conclusion from the list below.

 

There is sufficient evidence at α = 0.05 that the crossing does result in a population that follows Mendel's laws of inheritance
There is insufficient evidence at α = 0.05 that the crossing does not result in a population that follows Mendel's laws of inheritance
There is insufficient evidence at α = 0.05 that the crossing does result in a population that follows Mendel's laws of inheritance
There is sufficient evidence at α = 0.05 that the crossing does not result in a population that follows Mendel's laws of inheritance
Observed counts Model proportions Cucumber Phenotype 1 2 3 801 248 274 9/16 3/16 3/16 4 Total 77 1400 1/16
Transcribed Image Text:Observed counts Model proportions Cucumber Phenotype 1 2 3 801 248 274 9/16 3/16 3/16 4 Total 77 1400 1/16
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