Question

In a survey of 2075 adults in a certain country conducted during a period of economic​ uncertainty, 55​% thought that wages paid to workers in industry were too low. The margin of error was 6 percentage points with 90​% confidence. For parts​ (a) through​ (d) below, which represent a reasonable interpretation of the survey​ results? For those that are not​ reasonable, explain the flaw.

We are

90​%

confident

55​%

​(b) We are

84%

to

96%

confident

55​%

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 indicates that the level of confidence is varying.

C.The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other​ intervals, which is not true.

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

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 suggests that this interval 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.

We are 90​% confident that the interval from

0.49

to

0.61

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.

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 suggests that this interval 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.

~In 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

0.49

and

0.61

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 suggests that this interval 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.

Answer 1