Answered: A comparison between species:…

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:

H₀: p_I - p_II = 0
H_a: p_I - p_II ≠ 0
H₀: p_I - p_II = 0
H_a: p_I - p_II < 0
H₀: p_II = 0.008
H_a: p_II ≠ 0.008
H₀: p_I - p_II = 0
H_a: p_I - p_II > 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 H_a

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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