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 22
Movie B 63
Movie C 29
Movie D 26
There are 900 students total on campus.
Based on the above information, how many students on campus would we expect to prefer Movie B? Round your answer to the nearest whole number. Do not round any intermediate calculations.
students
Based on the sample data, we can calculate the proportion of students who prefer Movie B:
Proportion of students who prefer Movie B = Number of students who prefer Movie B / Total number of students surveyed
Proportion of students who prefer Movie B = 63 / (22 + 63 + 29 + 26) = 63 / 140 ≈ 0.45
Now, we can use this proportion to estimate the number of students on campus who would prefer Movie B:
Number of students who prefer Movie B = Proportion of students who prefer Movie B * Total number of students on campus
Number of students who prefer Movie B = 0.45 * 900 ≈ 405
Therefore, we would expect around 405 students on campus to prefer Movie B.