A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for football or baseball. Out of the total 77 people who liked football, 48 also liked baseball. There were 65 people who liked baseball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like football Do not like football Total Like baseball A D G Do not like baseball B E H Total C F I Part B: What percentage of the survey respondents did not like either football or baseball? (3 points) Part C: Do the survey results reveal a greater dislike for football or baseball? Justify your answer. (2 points)
Total of students who like football = 77 students Students who like football and baseball = 48 students Students who like football and not baseball = 77 - 48 = 29 students
Students who do not like football = 100 - 77 = 23 students
Students who like baseball = 65 students Students who like baseball but not football = 65 - 48 = 17 students
Students who do not like baseball = 100 - 65 = 35 students
These data can be represented in a two ways table as shown below
PART B:
The number of students who do not like either football or baseball is 29+17+6=52
The probability is 52/100 = 52%
PART C:
The number of students who don't like football is 17+6=23 students The number of students who don't like baseball is 35 students
The survey result reveals a greater dislike for baseball
