The U. S. Department of Education released a report on online learning stating that blended instruction, a combination of conventional face-to-face and online instruction, appears more effective in terms of student performance than conventional teaching. You decide to poll incoming students at your institution to see if they prefer courses that blend face-to-face instruction with online components. In an SRS of 400 incoming students, you find that 373 prefer this type of course.

(A) What is the sample proportion who prefer this type of blended instruction? (Round your answer to two decimal places.)
(B) Assume the population proportion for all students nationwide is 85%, what is the standard deviation of p? (Round your answer to four decimal places.)
(C) Using the 68-95-99.7 rule, if you had drawn an SRS from the United States, you would expect β to fall between what two percents about 95% of the time? (Round your answers to four decimal places.)
(D) Based on your result in part (a), do you think that the incoming students at your institution prefer this type of instruction more, less, or about the same as students nationally? Explain your answer.

a) The sample proportion was not in the interval, thus, we should believe that our students prefer blended instruction more than students nationally.
b) The sample proportion was in the interval, thus, we should believe that our students prefer blended instruction more than students nationally.
c) The sample proportion was equal to the national average, thus, we should believe that our students prefer blended instruction about the same as students nationally.
d) The sample proportion was in the interval thus, we should believe that our students prefer blended instruction less than students nationally.
e) The sample proportion was not in the interval, thus, we should believe that our students prefer blended instruction less than students nationally.