A poll was conducted of 2416 Americans who were employed full time about the gender gap in pay. Half were men, and half were women. One question asked: "I believe men and women at my company are paid equally for equal work." The number giving each response is shown below.
\begin{tabular}{|c|c|c|}
\hline Response & Men & Women \\
\hline Agree & 978 & 754 \\
\hline Disagree & 176 & 386 \\
\hline Not sure & 54 & 68 \\
\hline
\end{tabular}
Part 1 of 3
(a) If a person who participated in the survey is selected at random, what is the probability that he or she disagreed? Write as a decimal rounded to two decimal places.
The probability that he or she disagreed is approximately 0.23 .
Part 2 of 3
(b) What is the probability that the person is a man who either agreed or disagreed? Write as a decimal rounded to two decimal places.
The probability that the person is a man who either agreed or disagreed is approximately 5.62 .
Correct Answer:

Step 1 ：A poll was conducted of 2416 Americans who were employed full time about the gender gap in pay. Half were men, and half were women. One question asked: 'I believe men and women at my company are paid equally for equal work.' The number giving each response is shown below.

Step 2 ：\begin{tabular}{|c|c|c|} \hline Response & Men & Women \\ \hline Agree & 978 & 754 \\ \hline Disagree & 176 & 386 \\ \hline Not sure & 54 & 68 \\ \hline \end{tabular}

Step 3 ：If a person who participated in the survey is selected at random, what is the probability that he or she disagreed? Write as a decimal rounded to two decimal places.

Step 4 ：The total number of participants is 2416. The number of people who disagreed is the sum of men and women who disagreed, which is 176 + 386.

Step 5 ：We can calculate the probability by dividing the number of people who disagreed by the total number of participants. So, the probability that a person disagreed is \(\frac{176 + 386}{2416} \approx 0.23\).

Step 6 ：What is the probability that the person is a man who either agreed or disagreed? Write as a decimal rounded to two decimal places.

Step 7 ：The number of men who either agreed or disagreed is the sum of men who agreed and men who disagreed, which is 978 + 176.

Step 8 ：We can calculate the probability by dividing the number of men who either agreed or disagreed by the total number of participants. So, the probability that the person is a man who either agreed or disagreed is \(\frac{978 + 176}{2416} \approx 0.48\).

Step 9 ：Final Answer: The probability that a person disagreed is approximately \(\boxed{0.23}\). The probability that the person is a man who either agreed or disagreed is approximately \(\boxed{0.48}\).