survey a group of students was asked about favorite colors, and 20% of the students said that their favorite…

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

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

Answer

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