A curious accountant at a large firm would like to know if money can buy happiness. She selects a random sample of 30 of her wealthy clients and contacted them to ask "On a scale of 1-100, how happy are you?" The resulting 95 percent confidence interval for the true mean happiness rating for all wealthy customers is (67.5, 89.5). Which of the following statements best summarizes the meaning of 95% confidence? (A) Approximately 95% of the wealthy customers in the survey reported having happiness ratings between 67.5 and 89.5.
(B) Approximately 95% of the wealthy customers at this firm have happiness ratings between 67.5 and 89.5.
(C) A wealthy customer selected at random from this population has a happiness rating between 67.5 and 89.5 95% of the time.
(D) About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval of (67.5, 89.5).
(E) About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval that captures the population mean happiness rating.