Question

A random sample of 83 residents of a certain town were asked whether they approve of a proposal to improve the town’s aging bridges. The 95 percent confidence interval to estimate the proportion of all residents of the town who approve of the proposal was calculated to be (0.361,0.579).

Answer 1

We are 95 percent confident that the proportion of all residents in the town who favor the proposal is between 0.361 and 0.579.

Explanation:

The question states that there is a 95% confidence interval, so the answer must start off saying "we are 95 percent confident". It also states that the proportion of all residents of the town who approve of the proposal was calculated to be (0.361,0.579), so this must be exactly quoted in the answer choice as well.

Answer 2

The correct answer to the following question will be "A one-sample z test for a population proportion".

Explanation:

• An illustration of a single sample or test Z check for population ratio or percentage is above provided experiment. We should approximate the current value of the population ratio duration where the approximately the estimated population resides.
• In this case, just one variable is checked so we'll have to use single sample Z.

So that the above is the right answer.