Question

A 99% confidence interval for the percentage of all UI students who ride Cambus daily is (30.3 , 42.6). Is the following claim plausible, with 99% confidence? Claim: More than 50% of all UI students ride Cambus daily.

Answer 1

Given interval is (30.3 , 42.6)

yes, because confidence interval does not contain 50%

Answer 2

To determine whether the claim "More than 50% of all UI students ride Cambus daily" is plausible with 99% confidence, we need to check if the lower bound of the confidence interval falls above 50%.

In the given 99% confidence interval, the lower bound is 30.3%. Since this lower bound is less than 50%, we can conclude that the claim is not plausible with 99% confidence.

In statistical terms, the 99% confidence interval (30.3% to 42.6%) does not include the value of 50%, indicating that there is strong evidence to suggest that the true percentage of UI students who ride Cambus daily is lower than 50%.