題組內容
Notes: Please round to the nearest hundredths (the 2nd decimal) in your calculation, unless stated otherwise. In making statistical inferences, clearly specify the hypothesis, test statistics, decision rules, and the conclusions derived from your tests. If needed, use the most appropriate table to find the critical values.
I. (15%) Suppose 9.5% of all undergraduate students in NTPU participated in the exchange student program and studied abroad in 2019. Assume that women make up 60% of the students who studied abroad in 2019, but women only make up 49% of the students who didn't participate in the program. For the following questions, please round to the nearest ten thousandths (the 4th decimal) in your answers.
(a) What is the probability that a female student studied abroad in 2019?