In a survey of 2055 adults in a certain country conducted during a period of economic uncertainty, 62% 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.
(b) we are 91 % to 99 % 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. no interval has been provided 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.
(c) we are 95 % confident the proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low was between 0.59 and 0.67. 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, which is not true.
c. the interpretation is flawed. no interval has been provided about the population proportion.
d. the interpretation is flawed. the interpretation indicates that the level of confidence is varying.
(d) in 9595 % 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 0.59 and 0.67. 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.