Question

survey a group of students was asked about favorite colors, and 20% of the students said that their favorite color is red. there are about 3000 students in the school. if the margin of error is ±2%, what is the range of the number of students who likely say that their favorite color is red? list the number of students from least to greatest. to students

Explanation:

Step1: Calculate the lower - bound percentage

The lower - bound percentage of students who like red is $20\% - 2\%=18\%$.

Step2: Calculate the lower - bound number of students

The number of students in the school is $n = 3000$. The lower - bound number of students who like red is $0.18\times3000 = 540$.

Step3: Calculate the upper - bound percentage

The upper - bound percentage of students who like red is $20\%+2\% = 22\%$.

Step4: Calculate the upper - bound number of students

The upper - bound number of students who like red is $0.22\times3000=660$.

Answer:

540 to 660 students