Confidence Intervals for Proportions
Authored by Alison Stevenson
Mathematics
11th - 12th Grade
CCSS covered
Used 145+ times
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21 questions
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1.
MULTIPLE CHOICE QUESTION
2 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. Calculate a 95% confidence interval for p.
(0.105, 0.305)
(0.085, 0.324)
(0.117, 0.292)
(0.048, 0.361)
2.
MULTIPLE CHOICE QUESTION
30 sec • 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 8.5% and 32.4%
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 8.5% and 32.4%
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
3.
MULTIPLE CHOICE QUESTION
2 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
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A survey of 121 subjects found that 84 have suffered the symptoms of depression in the last year.
A 90% confidence interval for p is (0.621, 0.759). Interpret this interval.
Based on this sample, I am 90% confident that the true proportion of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%.
90% of the time, the population of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%
90% of all of the possible intervals calculated using this method will capture the true proportion of people who have suffered the symptoms of depression in the last year.
The probability that people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9% is 90%.
Tags
CCSS.HSS.IC.B.4
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A survey of 121 subjects found that 84 have suffered the symptoms of depression in the last year.
A 90% confidence interval for p is (0.621, 0.759). In this context, interpret "90% Confidence".
Based on this sample, I am 90% confident that the true proportion of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%.
90% of the time, the population of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%
90% of all of the possible intervals calculated using this method will capture the true proportion of people who have suffered the symptoms of depression in the last year.
The probability that people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9% is 90%.
Tags
CCSS.HSS.IC.B.4
6.
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
7.
MULTIPLE CHOICE QUESTION
1 min • 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
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