Question

A sample of 318 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Female Male 47 37 20 36 What is the relative frequency of biology majors in the sample? Round your answer to two decimal places. 43 15 Mathematics 29 35 Computer science 20 36​

Answer 1

To find the relative frequency of biology majors in the sample, we need to divide the number of biology majors by the total number of students in the sample.

The contingency table shows that there are 47 female biology majors and 36 male biology majors, resulting in a total of 47 + 36 = 83 biology majors in the sample.

The total number of students in the sample is 318.

To calculate the relative frequency, we divide the number of biology majors (83) by the total number of students (318):

Relative frequency of biology majors = 83 / 318 ≈ 0.26

Rounded to two decimal places, the relative frequency of biology majors in the sample is approximately 0.26 or 26%.