Question

A random sample of 184 students at South High School were surveyed on whether they would prefer going to a movie or a concert. The results are shown in the relative frequency table.
Which statements are correct? Check all that apply.

A) The marginal relative frequency for 10th graders is 0.18.
B) 42% of the students prefer a concert over a movie.
C) A greater ratio of 11th graders prefer a concert to a movie.
D) More 12th graders were surveyed than any other grade level.
E) The difference in the percent of students who prefer a movie over a concert is16%.

Answer 1

Answer:

B. 42% of the students prefer a concert over a movie.

C.A greater ratio of 11th graders prefer a concert to a movie.

E.The difference in the percent of students who prefer a movie over a concert is 16%.

Answer 2

E) The difference in the percent of students who prefer a movie over a concert is 16%.
Reason: Subtract the Total. 0.58 - 0.42 = 0.16

C) A greater ratio of 11th graders prefer a concert to a movie.
Reason: 11th grade concert = 0.18, 11th grade movie = 0.16
0.18 > 0.16

B) 42% of the students prefer a concert over a movie.
Reason: Total for Concert = 42%. It does not give information on whether the students like both, and so 42% is your answer  


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