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samariahmiddlebrooks
05.09.2019 •
Mathematics
Which of the following shows an equivalent expression to
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Ответ:
Yes, she got the predicted outcome.
Explanation:
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?
Using the Chi square formula:
Where,
= observed frequency (OF) and
= expected frequency (EF).
Phenotype OF EF![X^2](/tpl/images/0568/4210/b97bc.png)
Stripes only 50 4/16 x 176 = 44
= 0.8182
Spots only 41 3/16 x 176 = 33
= 1.9394
Stripe & spot 85 9/16 x 176 = 99
= 1.9798
Total
= 4.74
Degree of freedom = 3 - 1 = 2
The
calculated is greater than the
tabulated, hence, we conclude that she got the predicted outcome. It means there is no significant difference between the expected outcome and the observed outcome.