Question

A group of students were polled to find out how many were planning to major in a scientific field of study in college. The results of the poll are sho

Two-way tables
ANSWERED
asked 2021-06-23

A group of students were polled to find out how many were planning to major in a scientific field of study in college. The results of the poll are shown in the two-way table. Which of the following statements is true? A. Three hundred sixty students were polled in all. B. A student in the senior class is more likely to be planning on a scientific major than a nonscientific major. C. A student planning on a scientific major is more likely to be a junior than a senior. D. More seniors than juniors plan to enter a scientific field of study. \($$\begin{matrix} \text{Majoring in a science field}\ \quad & \quad & \text{Yes} & \text{No}\ \text{Class} & \text{Junior} & \text{150} & \text{210}\ \quad & \text{Senior} & \text{112} & \text{200}\ \end{matrix}$$\)

Expert Answers (1)

2021-06-24

We are given:
\(\begin{array}{|c|c|} \hline & Yes & No \\ \hline Junior& 150& 210\\ \hline Senior& 112& 200\\ \hline \end{array}\)
A) We determine the total number of students polled:
\(\displaystyle{150}+{210}+{112}+{200}={672}\frac{=}{{360}}\)
B) We check if a senior is more likely to be planning on a scientific major than a nonscientific major: \(\displaystyle\frac{{112}}{{>}}{200}\)
C) We check if a student planning on a scientific major is more likely to be a junior than a senior: \(\displaystyle{150}{>}{112}\)
D) We check if more seniors than juniors plan to enter a scientific field to study: \(\displaystyle\frac{{112}}{{>}}{150}\)
The true statement is C.

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