a survey of 2075 adults in a certain country conducted during a period of economic uncertainty, 64% thought that wages paid to workers in industry were too low. The margin of error was 8 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. (a) We are 90% confident 64% 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. (b) We are 82% to 98% confident 64% 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 suggests that this interval sets the standard for all the other intervals, which is not true. C. The interpretation is flawed. The interpretation provides no interval about the population proportion. D. The interpretation is flawed. The interpretation indicates that the level of confidence is varying. (c) We are 90% confident that the interval from 0.56 to 0.72 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. (d) 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 0.56 and 0.72. 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.
Margin of Error: Margin of error represents the percentage deviation of a parameter from the true value.at a given confidence level.
a) The interpretation is flawed, because there is no mention of margin of error, hence the interval has not been provided for population proportion.
b) The interpretation is flawed, because it indicates the confidence interval is varying which cant vary.
c) This interpretation is correct, because it gives the deviation of the parameter from the mean value, here the mean is 64% or 0.64 who believe the that wages paid to workers in industry are too low.
d) This interpretation is flawed,because it sets the standard for all other intervals.
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