Question

In a survey of 2065 adults in a certain country conducted during a period of economic uncertainty, 63 % thought that wages paid to workers in industry were too low. The margin of error was 4 percentage points with 95 % 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.

(a) We are 95 % confident 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 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. No interval has been provided about the population proportion.

Answer 1

The interpretation is generally reasonable, as it correctly reflects the survey results and the margin of error, considering the 95% confidence level.

Step-by-step explanation:

The interpretation that we are 95% confident that 63% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low is generally reasonable. This statement correctly reflects the survey results and the margin of error provided. The level of confidence indicates that if we were to conduct this survey many times, we would expect the proportion who believe that wages are too low to fall within the margin of error 95% of the time. The interpretation may contain a small flaw if it implies that the 63% figure applies to all adults in the country, but it does acknowledge the uncertainty inherent in the estimate due to the margin of error.