In: Statistics and Probability
In a research study comparing two different types of aortas (a healthy aorta and a repaired aorta), researchers recorded the number of individuals with each type of aortas who had reduced blood flow. For the individuals with the healthy aortas, 28 had reduced blood flow, and 83 did not. In the group with the repaired aortas, 55 patients had reduced blood flow, and 180 did not. Do the confidence intervals overlap? Explain briefly the meaning of any overlap or lack of overlap. How would you interpret the results of this study?
a) Calculate a 90% confidence interval for percentage of individuals in each population who have reduced blood flow (keeping the two groups separate). State each confidence interval in a sentence.
b) Do the confidence intervals overlap? How can you interpret the results of this study, based on whether there is or is not any overlap?