The graph shows the results of a survey that asked 4300 students ages 7 to 18 what they thought would be the most important benefit of air travel in the future. There are about 40 million students in the United States. If the margin of error is ±3%, what is the range of the number of students ages 7 to 18 who would likely say that "finding new resources for Earth" is the most important benefit of future flight?

Answer:

What class you be taking

Step-by-step explanation:

To calculate the range of the number of students ages 7 to 18 who would likely say that "finding new resources for Earth" is the most important benefit of future flight, we need to consider the margin of error.

The margin of error (MOE) is ±3%, which means the actual percentage of students who think this way could be 3% higher or 3% lower than the survey result.

First, let's find out the percentage of students who chose "finding new resources for Earth" as the most important benefit of future flight based on the survey:

Percentage from the survey = \( \frac{4300}{40000000} \times 100\% = 0.01075\% \)

Now, we need to calculate the upper and lower bounds considering the margin of error:

Upper bound = \( 0.01075\% + 3\% = 0.04075\% \)

Lower bound = \( 0.01075\% - 3\% = -0.01925\% \)

The lower bound cannot be negative, so we consider it as 0%.

To find the number of students in the United States who would likely say that "finding new resources for Earth" is the most important benefit of future flight, we use the upper bound percentage:

\( 0.04075\% \times 40000000 = 16300 \)

So, the range is approximately 16,300 students to 4,300 students.