
Confidence Interval Estimator for the Population Proportion
Authored by Ariel Gilbuena
Mathematics
11th Grade

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12 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which of the following values below represents the critical value for a 98% confidence interval?
1.645
2.054
2.326
3.091
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was (₱1,390,480, ₱1,541,440). Give a practical interpretation of the interval.
90% of the sampled CEOs have salaries that fell in the interval ₱1,390,480 to ₱1,541,440
90% of all CEOs in the electronics industry have salaries that fall between ₱1,390,480 to ₱1,541,440
We are 90% confident that the mean salary of the sampled CEOs falls in the interval ₱1,390,480 to ₱1,541,440.
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval ₱1,390,480 to ₱1,541,440.
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A researcher at a major hospital wishes to estimate the proportion of the adult population of the nation. that has high blood pressure. How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 5%?
109
164
271
542
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which of the following actions would produce a confidence interval with a smaller width assuming all other contingencies remained constant?
Using a higher confidence level
Using a lower confidence level
5.
MULTIPLE CHOICE QUESTION
45 sec • 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.
6.
MULTIPLE CHOICE QUESTION
45 sec • 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)
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A recent study of 750 Internet users in the Philippines found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in the Philippines 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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