STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
Question
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Compute a 95% confidence interval:Hint:use p-hat formulaAfter watching a horror film, 34 out of 50 people reported problems getting to sleep.
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(.55, .81)
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(.571, .789)
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(.671, .689)
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There is not enough information to compute a confidence interval.
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Explanation:
Detailed explanation-1: -From the formula m=Z se (p-hat), you can see that the margin of error depends on the confidence level (Z multiplier) and through the sample size n inside the expression for se(p-hat). A common problem in statistics is to figure out what sample size will be needed to obtain the desired accuracy (margin of error m).
Detailed explanation-2: -The confidence interval at the 95% level of confidence for the true population proportion was reported to be (0.750, 0.950).
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