STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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99% of the time in repeated samples, the interval would contain the true value of the parameter
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99% of the time in repeated samples, the interval would contain the estimated value of the parameter
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99% of the time in repeated samples, the null hypothesis will be rejected
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99% of the time in repeated samples, the null hypothesis will not be rejected when it was false
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Detailed explanation-1: -Although from a philosophical perspective, some researchers would disagree with this definition, on this course a 99% confidence interval is taken to mean that 99% of the time in repeated samples, the interval would contain the true parameter value. Thus a is correct.
Detailed explanation-2: -A 99% confidence interval estimate can be interpreted to mean that: If all possible samples are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval.
Detailed explanation-3: -A 95% confidence interval for i has two equivalent definitions: The interval is the set of values for which a hypothesis test to the level of 5% cannot be rejected. The interval has a probability of 95% to contain the true value of i .