In: Statistics and Probability
19. Claim: The percentage of people aged 18-30 that will vote for Candidate A is less than the percentage of people aged 50-70 that will vote for Candidate A. Test at α = 0.05
Data: 150 random 18-30 year old people are asked, and 100 of them say they will vote for Candidate A. 200 random 50-70 year old people are asked, and 150 say they will vote for Candidate A.
(a) Are these data statistically significant evidence to support the claim?
(b) Are these data statistically significant evidence to refute the claim?
Let denotes the proportion of people aged 18-30 that will vote for Candidate A and denotes the proportion of people aged 50-70 that will vote for Candidate A.
a) Yes, these data are statistically significant evidence to support the claim.
b) No, these data are not statistically significant evidence to refute the claim