Questions: In a study conducted by a human resource management organization, 176 human resource professionals were surveyed. Of those surveyed, 43% said that their companies conduct criminal background checks on all job applicants. Complete parts (a) through (d).
a. What is the exact value that is 43% of 176 survey subjects?
The exact value is 75.68
(Type an integer or a decimal. Do not round.)
b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not?
A. No, the result from part (a) could not be the actual number of survey subjects who said this because a count of people must result in a whole number.
B. Yes, the result from part (a) could be the actual number of survey subjects who said this because the result is statistically significant.
C. Yes, the result from part (a) could be the actual number of survey subjects who said this because the polling numbers are accurate.
D. No, the result from part (a) could not be the actual number of survey subjects who said this because that is a very rare outcome.
Transcript text: In a study conducted by a human resource management organization, 176 human resource professionals were surveyed. Of those surveyed, $43 \%$ said that their companies conduct criminal background checks on all job applicants. Complete parts (a) through (d).
a. What is the exact value that is $43 \%$ of 176 survey subjects?
The exact value is $\square$ 75.68
(Type an integer or a decimal. Do not round.)
b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not?
A. No, the result from part (a) could not be the actual number of survey subjects who said this because a count of people must result in a whole number.
B. Yes, the result from part (a) could be the actual number of survey subjects who said this because the result is statistically significant.
C. Yes, the result from part (a) could be the actual number of survey subjects who said this because the polling numbers are accurate.
D. No, the result from part (a) could not be the actual number of survey subjects who said this because that is a very rare outcome.
Solution
Solution Steps
Step 1: Calculate the exact value of 43% of 176 survey subjects
To find the exact value of \(43\%\) of 176, multiply 176 by \(0.43\):
\[
176 \times 0.43 = 75.68
\]
The exact value is \(75.68\).
Step 2: Determine if the result from part (a) could be the actual number of survey subjects
The result from part (a) is \(75.68\), which is not a whole number. Since the number of survey subjects must be a whole number (you cannot have a fraction of a person), the result cannot be the actual number of survey subjects.
Step 3: Select the correct option for part (b)
The correct option is:
A. No, the result from part (a) could not be the actual number of survey subjects who said this because a count of people must result in a whole number.
Final Answer
The exact value is \( \boxed{75.68} \) and the correct answer is A.