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, 0.7% had the mutation while in a sample of 13 Neema Toads of Species II, 2% 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=0.05α=0.05.

a) The hypotheses for this test are:

• H₀: p_II = 0.007
  H_a: p_II ≠ 0.007
• 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_I - p_II = 0
  H_a: p_I - p_II > 0

b)What is the test statistic for this test?  (Report answer accurate to 2 decimal places.)

c)What is the p-value for this test?  (Report answer accurate to 4 decimal places.)

d)The decision reached is

• Reject H₀ and accept H_a
• Fail to reject H₀

e) As such, the final conclusion is that

• There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species
• There is significant evidence that suggests no 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 to suggest a difference between prevalence of the mutation across the two species

Answer 1