Final answer:
The correct 90% confidence interval for the mortality rate of the 1918 H1N1 flu pandemic, given the 95% confidence interval is (0.62, 0.66), is likely to be Option A (0.623, 0.657). This is because a 90% confidence interval is narrower than a 95% confidence interval.
Step-by-step explanation:
The question is asking to determine a correct 90% confidence interval for the mortality rate of the 1918 H1N1 flu pandemic using the same data set from the CDC that was used to construct a 95% confidence interval. Given the 95% confidence interval is (0.62, 0.66), and knowing that a 90% confidence interval would be narrower because it has less certainty and thus contains less of the distribution than the 95% interval, we can decide which of the proposed intervals would be plausible.
Among the provided options:
- Option A (0.623, 0.657) is narrower than the 95% interval and symmetrically reduces the interval size, making it a likely candidate for the 90% confidence interval.
- Option B (0.62, 0.675) is not narrower and actually extends further at the upper end than the 95% interval, therefore it cannot be the correct 90% interval.
- Option C (0.608, 0.66) is narrower on one end but retains the upper limit of the 95% interval, making it less likely to be the correct interval but still possible.
Considering these points,
Option A is the only option that could correctly represent a 90% confidence interval given the situation.