Below are the results from an experiment conducted by taking a random sample of 100 students in two separate occasions. Based on the data, if you were to randomly select 50 students from the population, about how many would you expect to respond that horror is their favorite movie genre?
A frequency table titled, What is your favorite type of movie? Sample 1: comedy, 38. drama, 12. horror, 28. musical, 22. Sample 2: comedy, 41. drama, 14. horror, 33. musical, 12.
In Sample 1, the proportion of students who responded that horror is their favorite movie genre is 28/100 = 0.28.
In Sample 2, the proportion of students who responded that horror is their favorite movie genre is 33/100 = 0.33.
On average, about 0.305 or approximately 30.5% of the students from the two samples responded that horror is their favorite movie genre.
If you were to randomly select 50 students from the population, you would expect around 0.305 * 50 = 15.25 or approximately 15 students to respond that horror is their favorite movie genre.