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, 0.6% had the mutation while in a sample of 14 space aliens of Species II, 1.1% 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 Họ: PII - 0.006 Ha: PI - 0.006 O Họ: PI - PII - 0 Ha: PI· PII < 0 O Ho: PI · PII - 0 Ha: PI - PII " 0 O Họ: PI - PI - 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 ) The prevalence of the mutation is the same for both species. O 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 O There is significant evidence to suggest a difference between prevalence of the mutation across the two species

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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, 0.6% had the mutation while in a
sample of 14 space aliens of Species II, 1.1% 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 Họ: PII = 0.006
Hạ: PII = 0.006
O Họ: PI - PII = 0
Hạ: PI - PII < 0
%3D
O Họ: PI - PII = 0
Hạ: PI - PII = 0
O Họ: PI - PII = 0
Hạ: 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
O Fail to reject Họ
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 significant evidence that suggests no difference in the prevalence of the mutation across
the two 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
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, 0.6% had the mutation while in a sample of 14 space aliens of Species II, 1.1% 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 Họ: PII = 0.006 Hạ: PII = 0.006 O Họ: PI - PII = 0 Hạ: PI - PII < 0 %3D O Họ: PI - PII = 0 Hạ: PI - PII = 0 O Họ: PI - PII = 0 Hạ: 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 O Fail to reject Họ 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 significant evidence that suggests no difference in the prevalence of the mutation across the two 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
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