A survey of 120 students about which sport , baseball , basketball , football ,hockey , or other , they prefer to watch on TV yielded the following tw

A survey of 120 students about which sport , baseball , basketball , football ,hockey , or other , they prefer to watch on TV yielded the following two-way frequency table . What is the conditional relative frequency that a student prefers to watch baseball , given that the student is a girl? Round the answer to two decimal places as needed
$\begin{array}{|ccccccc|}\hline & \text{Baseball}& \text{Basketball}& \text{Football}& \text{Hockey}& \text{Other}& \text{Total}\\ \text{Boys}& 18& 14& 20& 6& 2& 60\\ \text{Girls}& 14& 16& 13& 5& 12& 60\\ \text{Total}& 32& 30& 33& 11& 14& 120\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$
a) 11.67%
b) 23.33%
c) 43.75%
d) 53.33%
You can still ask an expert for help

Want to know more about Two-way tables?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

odgovoreh
Step 1
A conditional relative frequency is a frequency that compares the frequency count to the marginal total that represents the condition. This table gives the information regarding how many members of a group have that particular characteristic.
To find conditional relative frequency formula is, Number of items with particular characteristics divided by a total number of items.
Step 2
Divide the number of girls who prefer baseball with the total number of girls. Express the answer in the form of a percentage.

$=\frac{14}{60}×100=23.33\mathrm{%}$