This qulz: 13 point(s) iections 9.1 - 9.2 Question 6 of 13 possible This question: 1 Submit quiz point(s) possible In a survey of 2025 adults in a certain country conducted during a period of economic uncertainty, $61 \%$ thought that wages paid to workers in industry were too low. The margin of error was 3 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. (b) We are $92 \%$ to $98 \%$ confident $61 \%$ 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 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, which is not true.
Solution
Step 1 ：The question is asking whether the interpretation of the survey results is reasonable. The interpretation states that we are 92% to 98% confident that 61% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.
Step 2 ：The margin of error was 3 percentage points with 95% confidence. This means that the true proportion of adults who thought that wages were too low is likely to be within 3 percentage points of 61%, with 95% confidence.
Step 3 ：The interpretation is flawed because it suggests that the level of confidence is varying between 92% and 98%, which is not the case. The level of confidence is fixed at 95%.
Step 4 ：Therefore, the correct answer is B. The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
Step 5 ：Final Answer: \(\boxed{\text{B. The interpretation is flawed. The interpretation indicates that the level of confidence is varying.}}\)
