Confidence Interval for Proportions
Authored by Jared Day
Mathematics
10th - 12th Grade
CCSS covered
Used 3+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
In a survey of 104 students, it was found that 79 went to the homecoming game this year.
Calculate a 99% confidence interval for p.
(0.652, 0.868)
(0.691, 0.829)
(0.678, 0.842(
(0.685, 0.895)
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
In a survey of 104 students, it was found that 79 went to the homecoming game this year.
A 99% confidence interval for p is (0.652, 0.868). Interpret this interval.
99% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.
Based on this sample, I am 99% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
99% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A preliminary study suggests that 17% of people agree on an issue. How large must your sample size be so you could be within ± 5% with 95% confidence?
217
30
2
152
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A preliminary study suggests that 87% of people agree on an issue. How large must your sample size be so you could be within ± 3% of p calculate at 90% confidence?
7
466
5
338
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
You have no preliminary study to work from. How large must your sample size be so you could be within ± 3% of p at 90% confidence?
748
1068
11
1495
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?
97%, z* is larger for higher confidence intervals
97%, the standard error is larger for higher confidence intervals
91%, z* is larger for lower confidence intervals
91%, the standard error is smaller for lower confidence intervals
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For a sample, the 95% confidence interval is (0.202, 0.482).
What is the point estimate, p̂, of this sample?
0.28
0.14
0.342
0.684
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
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