
Confidence Intervals and Sample Size
Authored by Anthony Clark
Mathematics
12th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the critical value, z* for 97%
1.88
2.17
-1.88
-2.17
2.
MULTIPLE CHOICE QUESTION
1 min • 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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following changes to a study would result in a narrower confidence interval?
increasing the confidence level, increasing the sample size
decreasing the confidence level, decreasing the sample size
increasing the confidence level, decreasing the sample size
decreasing the confidence level, increasing the sample size.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
It was found that in a sample of 90 teenage boys, 70% of them have received speeding tickets. What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets?
(0.621, 0.780)
(0.591, 0.812)
(0.584, 0.830)
(0.615, 0.805)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This is notation from a different book. Identify the confidence interval used in the figure below if each shaded area is equal to 0.05.
90%
95%
98%
99%
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98% confidence interval for the true proportion of women shoppers who shop on impulse?
0.148 < p < 0.192
0.136 < p < 0.204
0.144 < p < 0.196
0.139 < p < 0.201
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the Internet?
0.321 < p < 0.379
0.316 < p < 0.384
0.309 < p < 0.391
0.305 < p < 0.395
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