Question

A hospital administrator sampled 100 records at random and found that a 95% confidence interval for the proportion of all patients who developed a secondary infection during their hospital stay was between 0.43 and 0.63. Asked to explain the meaning of this interval, the administrator’s intern says, “We can say with confidence that 95% of patients are between 43% and 63% likely to develop secondary infections during their stay.”

a. Is the intern right? Justify your answer with a sentence or two.

b. Explain this confidence interval in a statistically precise and meaningful way

Answer 1