Problem
A poll was conducted of 2468 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 & 983 & 756 \\ \hline Disagree & 192 & 351 \\ \hline Not sure & 59 & 127 \\ \hline \end{tabular} Part: 0 / 3 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
Solution
Step 1 ：The total number of people surveyed is 2468.
Step 2 ：The number of men who disagreed is 192 and the number of women who disagreed is 351.
Step 3 ：So, the total number of people who disagreed is 192 + 351 = 543.
Step 4 ：To find the probability that a randomly selected person disagreed, we need to divide the total number of people who disagreed by the total number of people surveyed. That is, \(\frac{543}{2468}\) = 0.2200162074554295.
Step 5 ：Rounding to two decimal places, the final answer is \(\boxed{0.22}\).
