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
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 \(p\) is \(\frac{70}{105}=\frac{2}{3}\)

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

We know the total number of males in the school is \(N = 351\). Let \(x\) be the number of males who prefer comedy. Using the proportion from the sample, we have \(x=\frac{2}{3}\times351\)

$$
LATEXBLOCK0
$$

Answer:

\(234\)