In a survey of adults in a certain country conducted during a period of economic uncertainty, % thought that wages
paid to workers in industry were too low. The margin of error was percentage points with % 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.
2065 55
3 90
(a) We are % confident % of adults in the country during the period of economic uncertainty felt wages paid to workers
in industry were too low.
90 55
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 indicates that the level of confidence is varying.
D. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, w
(b) We are % to % confident % of adults in the country during the period of economic uncertainty felt wages paid to
workers in industry were too low.
87 93 55
Is the interpretation reasonable?
A. The interpretation is reasonable.
B. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, w
C. The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
D. The interpretation is flawed. The interpretation provides no interval about the population proportion.
(c) We are % confident that the interval from to 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.
90 0.52 0.58
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 provides no interval about the population proportion.
D. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, w
(d) In % 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 and .
90
0.52 0.58
Is the interpretation reasonable?
A. The interpretation is reasonable.
B. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, w
C. The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
D. The interpretation is flawed. The interpretation provides no interval about the population proportion.