Researchers wanted to test whether the proportion of women who would vote for candidate A is different of the proportion of males who would vote for candidate A. They calculated a 95% confidence interval: (0.016, 0.218). What is the correct conclusion?
Question
Researchers wanted to test whether the proportion of women who would vote for candidate A is different of the proportion of males who would vote for candidate A. They calculated a 95% confidence interval: (0.016, 0.218). What is the correct conclusion?
Solution
The correct conclusion is that there is a significant difference between the proportion of women who would vote for candidate A and the proportion of men who would vote for candidate A. This is because the 95% confidence interval does not include 0, which would indicate no difference. Instead, the interval (0.016, 0.218) suggests that, with 95% confidence, the true difference in proportions lies somewhere between 1.6% and 21.8%. Therefore, we can conclude that there is a significant difference between the two proportions.
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