
Confidence interval for proportions
Authored by Aya Elhabashy
Mathematics
University
CCSS covered
Used 2+ times

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7 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
Tags
CCSS.HSS.IC.B.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?
2 percent
4 percent
8 percent
16 percent
36 percent
Tags
CCSS.HSS.IC.B.4
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
There is a 0.95 probability that the proportion of all residents in the town who favor the proposal will be between 0.361 and 0.579.
The probability that 95 percent of the residents in the town will favor the proposal is between 0.361 and 0.579.
We are 95 percent confident that any sample of 83 residents will produce a sample proportion between 0.361 and 0.579.
We are 95 percent confident that the proportion of all residents in the sample who favor the proposal is between 0.361 and 0.579.
We are 95 percent confident that the proportion of all residents in the town who favor the proposal is between 0.361 and 0.579.
Tags
CCSS.HSS.IC.B.4
5.
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
6.
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
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For a sample, the 95% confidence interval is (0.202, 0.482).
What is the margin of error of this sample?
0.28
0.14
0.342
0.684
Tags
CCSS.HSS.IC.B.4
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