question archive A zoologist wants to know if there exists a difference in the growth rates of fur in males and females of a certain species
A zoologist wants to know if there exists a difference in the growth rates of fur in males and females of a certain species
Subject:StatisticsPrice: Bought3
A zoologist wants to know if there exists a difference in the growth rates of fur in males and females of a certain species. She takes a random sample of males and another random sample of females from this species and measures the average growth of hair over a four-month period. For the males of the species, the average growth was 3.7. For the females, the average was 4.4.
(a) What hypotheses would she use to test for a difference between the male and female hair growths?
H0: pF = pM vs. Ha: pF > pM
H0: ????F = 4.4 vs. Ha: ????M = 3.7
H0: ????F - ????M = 0 vs. Ha: ????F - ????M ≠ 0
H0: pF=pM vs. Ha: pF ≠ pM
H0: ????F - ????M = 0 vs. Ha: ????F - ????M > 0
(b) The zoologist got a p-value of 0.019. What is the best interpretation of this p-value?
The probability that the two sexes have the same hair growth rate is 0.019.
If we take another sample, the probability of getting the same xF and xM is about 0.019.
We are 1.9% confident that the results of our test are correct.
If the two sexes have the same hair growth rates, the probability of getting a difference at least this large is 0.019.
1.9% of the time, we would expect the difference to be contained within 3.7 and 4.4.
