Question

from january 2016 algebra 1 cc regents

1. solve yourself

30 a statistics class surveyed some students during one lunch period to obtain opinions about television programming preferences. the results of the survey are summarized in the table below.
programming preferences
male: comedy 70, drama 35
female: comedy 48, drama 42
based on the sample, predict how many of the schools 351 males would prefer comedy. justify your answer.

Explanation:

Step1: Calculate the proportion of males who prefer comedy in the sample

The number of males who prefer comedy in the sample is \(70\), and the total number of males in the sample is \(70 + 35=105\). The proportion \(p\) of males who prefer comedy in the sample is \(p=\frac{70}{105}=\frac{2}{3}\)

Step2: Use the proportion to predict the number of males who prefer comedy in the school

Let \(x\) be the number of males who prefer comedy in the school. We know that the proportion of males who prefer comedy in the sample is the same as the proportion in the school population of males. So \(\frac{x}{351}=\frac{2}{3}\)

Cross - multiply: \(3x = 2\times351\)

\(3x=702\)

Solve for \(x\): \(x = 234\)

Answer:

\(234\)