A website tracks advanced exam registrations and performance by high school students. In a recent year, of the students who took the microeconomics exam, 41% passed. In an attempt to determine if the proportion of those passing the advanced math and science exams is equal to the 41% success rate for microeconomics, a random sample of 300 students enrolled in advanced math and science classes has been selected. Complete parts a and b below.

a. If 30 of the students in the sample passed at least one advanced math or science exam, calculate the proportion of those students who passed at least one math or science exam. Does this statistic indicate that the proportion of students who passed at least one advanced math or science exam is less than the 41% success rate for microeconomics? Support your assertion.

The proportion of those students who passed at least one math or science exam is

_____________.

(Round to three decimal places as needed.)

Does this statistic indicate that the proportion of students who passed at least one advanced math or science exam is less than the 41% success rate for microeconomics? Support your assertion.

A. No, because the sample proportion is less than 0.41.

B. Yes, because the sample proportion is less than 0.41.

C. No, because the sample proportion is greater than 0.41.

D. Yes, because the sample proportion is greater than 0.41.

b. Calculate a 95% confidence interval for the proportion of those students who passed at least one advanced math or science exam.

The 95% confidence interval estimate is _________-----------_____________

(Round to three decimal places as needed. Use ascending order.)