Question

A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0.75. Use the following possible sample results Sample A: 38 successes out of 40 Sample B: 31 successes out of 40 Sample C: 34 successes out of 40 Sample D: 27 successes out of 40 (a) State which of the possible sample results provides the most significance evidence for the claim Sample A Sample B Sample C Sample D SHOW HINT LINK TO TEXT (b) State which (if any) of the possible results provide no evidence for the claim Sample A Sample B SempleC Sample D None

Answer 1

Answer:

a) Sample A

b) Sample D

Step-by-step explanation:

The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.

The sample that has the bigger proportion is Sample A, with p=38/40=0.95.

The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.

The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.

Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.