A nationwide poll asked a random sample of US adults the question, "Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).Interpret the confidence interval.
Answer
A
We are 95% confident that less than half of US adults favor making Election Day a federal holiday.
B
95% of the time between 64% and 70% of US adults favor making Election Day a federal holiday
C
We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.
D
95% of US adults are in favor of making Election Day a federal holiday by a margin of 64 to 70.
Explanation
A 95% confidence interval estimates the population proportion, not the proportion in every repeated poll. The correct interpretation is that we are 95% confident the interval from 0.64 to 0.70 contains the true proportion of US adults who favor making Election Day a federal holiday. Choice C states this; choice B incorrectly treats the interval as containing 95% of individual poll results or adults.
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