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). Which of the following is a correct interpretation of the interval? There is a 0.95 probability that the proportion of all residents in the town who favor the proposal will be between 0.361 and 0.579. A The probability that 95 percent of the residents in the town will favor the proposal is between 0.361 and 0.579. B We are 95 percent confident that any sample of 83 residents will produce a sample proportion between 0.361 and 0.579. C We are 95 percent confident that the proportion of all residents in the sample who favor the proposal is between 0.361 and 0.579. D 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. E
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
Which of the following is a correct interpretation of the interval?
-
There is a 0.95 probability that the proportion of all residents in the town who favor the proposal will be between 0.361 and 0.579.
A -
The probability that 95 percent of the residents in the town will favor the proposal is between 0.361 and 0.579.
B -
We are 95 percent confident that any sample of 83 residents will produce a sample proportion between 0.361 and 0.579.
C -
We are 95 percent confident that the proportion of all residents in the sample who favor the proposal is between 0.361 and 0.579.
D -
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.
E
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