A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of space aliens. In a sample of 6 space aliens of Species I, 0.7% had the mutation while in a sample of 14 space aliens of Species II, 1.5% 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 = 0.01. a) The hypotheses for this test are: O Ho: Pi - Piu = 0 Ha: Pi - Pu - 0 O Ho: Pi - Pu = 0 Ha: Pi - Pu < 0 O Ho: P = 0.007 Ha: P| = 0.007 O Họ: P - PIL = 0 Ha: Pi Pi > 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 O Fail to reject Ho O Reject Ho and accept Ha As such, the final conclusion is that O The prevalence of the mutation is the same for both species. O There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species O There is significant evidence to suggest a difference between prevalence of the mutation across the two species O There is significant evidence that suggests no difference in the prevalence of the mutation across the two species.
A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of space aliens. In a sample of 6 space aliens of Species I, 0.7% had the mutation while in a sample of 14 space aliens of Species II, 1.5% 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 = 0.01. a) The hypotheses for this test are: O Ho: Pi - Piu = 0 Ha: Pi - Pu - 0 O Ho: Pi - Pu = 0 Ha: Pi - Pu < 0 O Ho: P = 0.007 Ha: P| = 0.007 O Họ: P - PIL = 0 Ha: Pi Pi > 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 O Fail to reject Ho O Reject Ho and accept Ha As such, the final conclusion is that O The prevalence of the mutation is the same for both species. O There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species O There is significant evidence to suggest a difference between prevalence of the mutation across the two species O There is significant evidence that suggests no difference in the prevalence of the mutation across the two 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
Related questions
Question
Pp# 10: can you help me solve and understand the first three steps of the problem please? A step by step explanation would be appreciated. Thank you!
Transcribed Image Text:A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across
two species of space aliens. In a sample of 6 space aliens of Species I, 0.7% had the mutation while in a
sample of 14 space aliens of Species II, 1.5% 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 = 0.01.
a) The hypotheses for this test are:
O Ho: Pi - Piu = 0
Ha: Pi - P ² 0
O Họ: Pi - Piu = 0
Ha: P - Pl < 0
O Họ: Pi = 0.007
H: P = 0.007
O Họ: Pi - PII = 0
Ha: P P| > 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
O Fail to reject Ho
O Reject Ho and accept Ha
As such, the final conclusion is that
O The prevalence of the mutation is the same for both species.
O There is not significant evidence to suggest a difference in the prevalence of the mutation across the
two species
O There is significant evidence to suggest a difference between prevalence of the mutation across the
two species
O There is significant evidence that suggests no difference in the prevalence of the mutation across
the two species.
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