Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the students would prefer. Here are the results.
Movie Preferred Number of Students
Movie A 35
Movie B 34
Movie C 28
Movie D 27
There are 900 students total on campus.
Based on the above information, how many students on campus would we expect to prefer Movie A or Movie B? Round your answer to the nearest whole number. Do not round any intermediate calculations.
students
The total number of students who prefer either Movie A or Movie B is 35 + 34 = 69.
To find out the number of students on campus who would be expected to prefer Movie A or Movie B, we can calculate the proportion of students who prefer Movie A or Movie B in the sample and then apply that proportion to the total number of students on campus.
Proportion of students who prefer Movie A or Movie B in the sample = 69 / (35 + 34 + 28 + 27) = 0.3833
Number of students on campus who would be expected to prefer Movie A or Movie B = 0.3833 * 900 = 344.97
Rounded to the nearest whole number, we would expect 345 students on campus to prefer Movie A or Movie B.