STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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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?
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(0.621, 0.780)
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(0.591, 0.812)
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(0.584, 0.830)
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(0.615, 0.805)
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Explanation:
Detailed explanation-1: -(Note that Z=1.645 to reflect the 90% confidence level.)
Detailed explanation-2: -If the level of confidence is 90%, this means that we are 90% confident that the interval contains the population mean, µ. The corresponding z-scores are ± 1.645. If the level of confidence is 95%, this means that we are 95% confident that the interval contains the population mean, µ.
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