Question 19, 1.1.31
15 correct
Part 2 of 4
Points: 0 of 1
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 ?
The exact value is 759.660000000001 .
(Type an integer or a decimal.)
b. Could the result from part (a) be the actual number of adults who said that they play basketball? Why or why not?
A. No, the result from part (a) could not be the actual number of adults who said that they play basketball because a count of people must result in a whole nur
B. Yes, the result from part (a) could be the actual number of adults who said that they play basketball because the polling numbers are accurate.
C. Yes, the result from part (a) could be the actual number of adults who said that they play basketball because the results are statistically significant.
D. No, the result from part (a) could not be the actual number of adults who said that they play basketball because that is a very rare activity.
Answer
Therefore, the answer to part (b) is A. No, the result from part (a) could not be the actual number of adults who said that they play basketball because a count of people must result in a whole number.
Step 1 ：Given that the total number of adults surveyed is 2302 and the percentage that play basketball is 33%, we can calculate the exact value that is 33% of 2302.
Step 2 ：\(\text{total_adults} = 2302\)
Step 3 ：\(\text{percentage} = 0.33\)
Step 4 ：\(\text{exact_value} = \text{total_adults} \times \text{percentage}\)
Step 5 ：\(\text{exact_value} = 759.66\)
Step 6 ：However, this number is not an integer, and the number of people cannot be a decimal. Therefore, the actual number of adults who said that they play basketball should be a whole number.
Step 7 ：\(\boxed{\text{The exact value that is 33% of 2302 is 759.66, but the actual number of adults who said that they play basketball should be a whole number.}}\)
Step 8 ：Therefore, the answer to part (b) is A. No, the result from part (a) could not be the actual number of adults who said that they play basketball because a count of people must result in a whole number.
