Question

A group of children and adults were polled about whether they watch a particular TV show. The survey results, showing the joint relative frequencies a

Two-way tables
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asked 2021-05-03

A group of children and adults were polled about whether they watch a particular TV show. The survey results, showing the joint relative frequencies and marginal relative frequencies, are shown in the two-way table. What is the value of x? \(\begin{matrix} & \text{Yes} & \text{No} & \text{Total}\\ \text{Children} & \text{0.3} & \text{0.4} & \text{0.7}\\ \text{Adults} & \text{0.25} & \text{x} & \text{0.3}\\ \text{Total} & \text{0.55} & \text{0.45} & \text{1}\\ \end{matrix}\)

Answers (1)

2021-05-04
Yes No Total We are given the two-way table:
Children 0.3 0.4 0.7
Adults 0.25 x 0.3
Total 0.55 0.45 1
0.25+x=0.3
We can determine x either on its column, or on its row: the last element in the column/row is the sum of the previous elements:
x=0.3-0.25
x=0.05 We determine x:
0
 
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