In a survey of 2085 adults in a certain country conducted during a period of economic?

Uncertainty, \(\displaystyle{63}\%\) thought that wages paid to workers in industry were too low. The margin of error was 8 percentage points with \(\displaystyle{90}\%\) confidence.

For parts (1) through (4) below, which represent a reasonable interpretation of the survey results. For those that are not reasonable, explain the flaw.

1) We are \(\displaystyle{90}\%\) confident \(\displaystyle{63}\%\) of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.

A) The interpretation is reasonable.

B) The interpretation is flawed. The interpretation provides no interval about the population proportion.

C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.

D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

2) We are \(\displaystyle{82}\%\) to \(\displaystyle{98}\%\) confident \(\displaystyle{63}\%\) of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. Is the interpretation reasonable?

A) The interpretation is reasonable.

B) The interpretation is flawed. The interpretation provides no interval about the population proportion.

C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.

D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

3) We are \(\displaystyle{90}\%\) confident that the interval from 0.55 to 0.71 contains the true proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low.

A) The interpretation is reasonable.

B) The interpretation is flawed. The interpretation provides no interval about the population proportion.

C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.

D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

4) In \(\displaystyle{90}\%\) of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.55 and 0.71.

A) The interpretation is reasonable.

B) The interpretation is flawed. The interpretation provides no interval about the population proportion.

C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.

D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.