A study found that in a sample of 44 subjects, 9 of them agree that children under 6 shouldn’t be taken to nice restaurants. Calculate a 95% confidence interval for p.
Confidence Interval Proportions

Quiz
•
Mathematics
•
11th - 12th Grade
•
Hard
Barbara White
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
(0.105, 0.305)
(0.082, 0.318)
(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 8.2% 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%.
3.
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)
4.
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
5.
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
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
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the critical value, z*, for 91% confidence.
1.70
1.34
0.18
-1.34
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