Question

A sample of 298 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classified according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below.

Answer 1

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario. The relative frequency formula is given as: Relative Frequency = Subgroup frequency/ Total frequency.

`\begin{gathered} registered\text{ total frequency = 49+35+25+32 = 141} \\ Total\text{ frequency = 298} \end{gathered}`

Therefore the relative frequency is

`\begin{gathered} relative\text{ frequency = registered frequency / total frequency} \\ =(141)/(298) \\ =0.473 \\ \approx0.47\text{ \lparen2d.p\rparen} \end{gathered}`

Hence the correct answer is

`0.47\text{ \lparen2d.p\rparen}`