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

Answer

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Answer

Rounding to two decimal places, the final answer is \(\boxed{0.22}\).

Steps

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 \(\boxed{0.22}\).

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