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. A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled movie with entries 0. 18, 0. 16, 0. 24, 0. 58. The third column is labeled concert with entries 0. 15, 0. 18, 0. 09, 0. 42. The fourth column is labeled total with entries 0. 33, 0. 34, 0. 33, 1. 0. Which statements are correct? Check all that apply. The marginal relative frequency for 10th graders is 0. 18. 42% of the students prefer a concert over a movie. A greater ratio of 11th graders prefer a concert to a movie. More 12th graders were surveyed than any other grade level. The difference in the percent of students who prefer a movie over a concert is16%.

Answer 1

The correct statements are as follows;

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

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

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

Given that

A random sample of 184 students at South High School was surveyed on whether they would prefer going to a movie or a concert.

              10th   11th   12th   total

Movie       .18    .16     .24    .58

Concert     .15     .18     .09   .42

Total           .33     .34    .33    1

According to the question

The marginal relative frequency for 10th graders is 0.18.  

This is an incomplete statement.

The marginal frequency is a number, not a percent.

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

42% preferred a convert to the 58% who preferred a movie.  

This statement is True.

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

18/100 concert to 16/100 for the movie for 11th graders.

$\rm = (0.58 -0.42) \times 100 \\\\ =0.16 \times 100\\\\= 16 \ percent$

 More 12th graders were surveyed than any other grade level.

There were more 11th graders surveyed (34%) to (33%) for 12 graders False

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

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