Estimate a population from a sample survey, with the margin of error given
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
A random sample of 160 of the 800 students at Jun's school found 45% carry a water bottle, margin of error 8 percentage points. At the lowest estimate, how many of the 800 carry one?
A random sample of 250 of the 2000 students at Kira's school found 64% eat breakfast at school, margin of error 6 percentage points. At the highest estimate, how many of the 2000 eat there?
not to scale. A random sample of 225 of the 900 students at Luz's school found 52% have a pet, margin of error 7 percentage points. At the lowest estimate, how many of the 900 have one?
A random sample of 100 of the 600 students at Milo's school averaged 3.5 books read this summer, margin of error 0.5. What is the lowest estimate of the total for all 600?
A random sample of 125 of the 1000 students at Pia's school averaged 4.2 glasses of water a day, margin of error 0.4. What is the lowest estimate of the total for all 1000?
A random sample of 150 of the 750 students at Ren's school averaged 22 minutes walking a day, margin of error 3. What is the highest estimate of the total for all 750?
A random sample of 150 students found a mean of 7.6 hours of sleep, margin of error 0.4 hours. Tala says the value for all students is 7.9 hours. Is that believable?
- Yes: 7.9 hours is inside the interval, 7.2 to 8 hours.
- No: 7.9 hours is outside 7.2 to 7.6 hours.
- No: the survey found 7.6 hours, so the true value is 7.6 hours.
A random sample of 360 students found that 38% want a school garden, margin of error 5 percentage points. Zee says the value for all students is 34%. Is that believable?
- No: the survey found 38%, so the true value is 38%.
- No: 34% is outside 38% to 43%.
- Yes: 34% is inside the interval, 33% to 43%.
its ends are not labeled. A random sample of 200 students found a mean of 25 minutes of reading a day, margin of error 3 minutes. Ari says the value for all students is 30 minutes. Is that believable?
- No: the survey found 25 minutes, so the true value is 25 minutes.
- Yes: 30 minutes is close to 25 minutes.
- No: 30 minutes is outside the interval, 22 to 28 minutes.
A random sample of 500 students found that 70% bring a water bottle, margin of error 4 percentage points. Bo says the value for all students is 60%. Is that believable?
- No: the survey found 70%, so the true value is 70%.
- No: 60% is outside the interval, 66% to 74%.
- Yes: 60% is close to 70%.