Question
Asked Sep 14, 2019
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A genetic engineer was attempting to cross a tiger and a cheetah. She predicted a phenotypic outcome of the traits she was observing to be in the following ratio: 4 (stripes only): 3 (spots only): 9 (both stipes and spots). When the cross was performed and she counted the individuals she found 50 with stripes only, 41 with spots only and 85 with both. According to the Chi-square test, did she get the predicted outcome?

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Expert Answer

Step 1

A chi-squared test is a statistical hypothesis test where the sampling distribution of the test statistic is chi-squared distribution when the null hypothesis is true. The test is used to determine if there is a significant difference between the expected frequencies and the observed frequencies in one or more categories.

Step 2

According to the question, when a tiger and a cheetah is attempted to cross, then,

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The given expected phenotypic ratio is Stripes only Spots only Both stripes and spots 4 3 9 Therefore, according to the ratio, the total number of expected individuals 4 +3 + 9 = 16 The number of individuals observed when the cross was actually done are as follows: Individuals with stripes only 50 Individuals with spots only = 41 Individuals with both stripes and spots = 85 Therefore, total number of observed individuals = 50 41 85 176 - Thus The number of expected individuals with stripes only (4 16) X 176 =44 The number of expected individuals with spots only (3 16) X 176 =33 The number of expected individuals with both stripes and spots = (9 16) X 176 =99

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Step 3

We know,...

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Chi-square (Ο-Ε)/Ε Observed number of individuals where, O E Expected number of individuals

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