Question

aviation 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? the next frontier for flight finding new resources for earth 21% exploring other planets in our solar system for signs of life 43% flying faster from one continent to another 10% scientific experiments

Explanation:

Step1: Calculate the lower - bound percentage

The percentage of students who think "finding new resources for Earth" is most important is $21\%$. With a margin of error of $\pm3\%$, the lower - bound percentage is $21\% - 3\%=18\%$.

Step2: Calculate the upper - bound percentage

The upper - bound percentage is $21\%+ 3\% = 24\%$.

Step3: Calculate the lower - bound number of students

The total number of students in the United States is $N = 40000000$. The lower - bound number of students is $0.18\times40000000 = 7200000$.

Step4: Calculate the upper - bound number of students

The upper - bound number of students is $0.24\times40000000=9600000$.

Answer:

The range is from $7200000$ to $9600000$ students.