Confidence Intervals
Authored by Monique Juarez
Mathematics
11th - 12th Grade
CCSS covered
Used 6+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A study found that in a sample of 44 subjects, 9 of agree that children under 6 shouldn’t be taken to nice restaurants.
The 95% confidence interval for p is (0.082, 0.318). Interpret this interval.
95% of the time the proportion of people who believe children under 6 shouldn't be taken to nice restaurants will be between 8.2% and 31.8%.
The population proportion of people who believe children under 6 shouldn't be taken to nice restaurants is between 8.2% and 31.8%.
The probability that the proportion of people who believe children under 6 shouldn't be taken to nice restaurants will be between 8.2% and 31.8% is 95%.
Based on this sample, I am 95% confident that the proportion of people who believe children under 6 shouldn't be taken to nice restaurants is between 8.2% and 31.8%.
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A survey of 121 subjects found that 84 have suffered the symptoms of depression in the last year. Calculate a 90% confidence interval for p.
(0.612, 0.776)
(0.641, 0.748)
(0.780, 0.900)
(0.621, 0.759)
Tags
CCSS.HSS.IC.B.4
3.
MULTIPLE CHOICE QUESTION
15 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
4.
MULTIPLE CHOICE QUESTION
15 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
5.
MULTIPLE CHOICE QUESTION
15 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
6.
MULTIPLE CHOICE QUESTION
15 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
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A random sample of 100 WHS students found that 53 of them were in possession of a pencil. What is the p-hat for this sample?
Tags
CCSS.HSS.IC.B.4
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