A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 117 Neema Toads of Species I, 11.9% had the mutation while in a sample of 198 Neema Toads of Species II, 15.3% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of a = 0.05. (Note: Please use pooling to compute the standard error.) a) The hypotheses for this test are: Ho: P = 0.119 Ha: PI - 0.119 0 = lld - Id :0H Ha: PI - PI > 0 0 = lld - Id :0H Ha: Pi - PiI * 0 Ho: Pi - PI = 0 Ha: PI - PII < 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is Fail to reject Ho Reject Ho and accept Ha As such, the final conclusion is that There is significant evidence to suggest a difference between prevalence of the mutation across the two species There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species The prevalence of the mutation is the same for both species. There is significant evidence that suggests no difference in the prevalence of the mutation across the two species.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two
species of Neema Toads. In a sample of 117 Neema Toads of Species I, 11.9% had the mutation while in a
sample of 198 Neema Toads of Species II, 15.3% showed the mutation. Is there significant evidence to suggest
a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a
significance level of a =
(Note: Please use pooling to compute the standard error.)
0.05.
a) The hypotheses for this test are:
Ho: Pu = 0.119
Ha: Pii - 0.119
%3D
0 = lld - Id :0H
Ha: PI - PII > 0
%3D
= lld - Id :0H.
Hạ: PL - PiL z 0
%3D
0 = lld - Id :0HI
Ha: PL - Piu< 0
What is the test statistic for this test?
test statistic =
(Report answer accurate to 2 decimal places.)
What is the p-value for this test?
p-value =
(Report answer accurate to 4 decimal places.)
The decision reached is
Fail to reject Ho
Reject Ho and accept Ha
As such, the final conclusion is that
There is significant evidence to suggest a difference between prevalence of the mutation across the
two species
There is not significant evidence to suggest a difference in the prevalence of the mutation across the
two species
The prevalence of the mutation is the same for both species.
There is significant evidence that suggests no difference in the prevalence of the mutation across the
two species.
Transcribed Image Text:Question 2 <> A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 117 Neema Toads of Species I, 11.9% had the mutation while in a sample of 198 Neema Toads of Species II, 15.3% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of a = (Note: Please use pooling to compute the standard error.) 0.05. a) The hypotheses for this test are: Ho: Pu = 0.119 Ha: Pii - 0.119 %3D 0 = lld - Id :0H Ha: PI - PII > 0 %3D = lld - Id :0H. Hạ: PL - PiL z 0 %3D 0 = lld - Id :0HI Ha: PL - Piu< 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is Fail to reject Ho Reject Ho and accept Ha As such, the final conclusion is that There is significant evidence to suggest a difference between prevalence of the mutation across the two species There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species The prevalence of the mutation is the same for both species. There is significant evidence that suggests no difference in the prevalence of the mutation across the two species.
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