Question

The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.

Answer 1

The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.

• The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Reasons:

The table is presented as follows;

$\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right]$

Based on the given table, we have that the programs are categorized based on the intended audience.

Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.

Therefore, the correct option is;

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

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