Question

A report on spending by adults on recreation stated the following: at least 75 percent of the people in the survey spend between 750 and 1,250 per year. The report also said that at least 88 percent spend between 625 and 1,375 per year. Given this information, which of the following is most apt to be true?

1) At least 80 percent of the people in the survey spend between 700 and 1,300 per year.
2) At least 70 percent of the people in the survey spend between 800 and 1,200 per year.
3) At least 85 percent of the people in the survey spend between 600 and 1,400 per year.
4) At least 90 percent of the people in the survey spend between 500 and 1,500 per year.

Answer 1

The most likely true statement is that at least 70 percent of the people in the survey spend between $800 and $1,200 per year.

Step-by-step explanation:

To determine which statement is most likely to be true, we need to analyze the given information. The report states that at least 75 percent of people spend between $750 and $1,250 per year on recreation, and at least 88 percent spend between $625 and $1,375 per year. Based on this information, we can deduce that the spending range between $625 and $1,250 represents an overlap between the two percentages. Therefore, the statement that is most apt to be true is 2) At least 70 percent of the people in the survey spend between $800 and $1,200 per year.