a survey of 100 students at a school finds that 15% of the students walk or bike to school. the margin of…

a survey of 100 students at a school finds that 15% of the students walk or bike to school. the margin of error is ± 3.6%. select all the likely percentages of students who walk or bike to school. 7.8% 10.2% 11.5% 17.1% 20.8%

a survey of 100 students at a school finds that 15% of the students walk or bike to school. the margin of error is ± 3.6%. select all the likely percentages of students who walk or bike to school. 7.8% 10.2% 11.5% 17.1% 20.8%

Answer

Explanation:

Step1: Calculate lower - bound

We subtract the margin of error from the sample percentage. The sample percentage is 15% and the margin of error is 3.6%. So the lower - bound is $15 - 3.6=11.4%$.

Step2: Calculate upper - bound

We add the margin of error to the sample percentage. So the upper - bound is $15 + 3.6 = 18.6%$.

Step3: Check each option

We check which options fall within the range of 11.4% to 18.6%.

  • Option 7.8% is less than 11.4%, so it is not in the range.
  • Option 10.2% is less than 11.4%, so it is not in the range.
  • Option 11.5% is between 11.4% and 18.6%, so it is in the range.
  • Option 17.1% is between 11.4% and 18.6%, so it is in the range.
  • Option 20.8% is greater than 18.6%, so it is not in the range.

Answer:

C. 11.5%, D. 17.1%