A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 6 Neema Toads of Species I, 0.8% had the mutation while in a sample of 14 Neema Toads of Species II, 0.7% 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 α=0.01α=0.01. a) The hypotheses for this test are:
A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 6 Neema Toads of Species I, 0.8% had the mutation while in a sample of 14 Neema Toads of Species II, 0.7% 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 α=0.01α=0.01. a) The hypotheses for this test are:
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 6 Neema Toads of Species I, 0.8% had the mutation while in a sample of 14 Neema Toads of Species II, 0.7% 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 α=0.01α=0.01.
a) The hypotheses for this test are:
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
As such, the final conclusion is that
a) The hypotheses for this test are:
- H0: pI - pII = 0
Ha: pI - pII ≠ 0 - H0: pI - pII = 0
Ha: pI - pII < 0 - H0: pII = 0.008
Ha: pII ≠ 0.008 - H0: pI - pII = 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 H0
- Reject H0 and accept Ha
As such, the final conclusion is that
- 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.
- There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species
- There is significant evidence to suggest a difference between prevalence of the mutation across the two species
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