Question

A polling company reported that 33​% of 2302 surveyed adults said that they play basketball. Complete parts​ (a) through​ (d) below.a. What is the exact value that is 33% of 2302?b. Could the result from part a be the actual number of adults who said that they play football? why or why not?c. What could be the actual number of adults who said that they play football?d. Among the 2302 respondents, 272 said that they only play hockey. what percentage of respondents said that they only play hockey?

Answer 1

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33​% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

$33\% \text{ of } 2302$ = $\frac{33}{100}\times 2302$

                   = 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

=  $\frac{272}{2302}\times 100$  = 11.82% ≈ 12%