The probability that a 95% confidence interval includes the parameter of interest is 0.95.Group of answer choicesTrueFalse
Question
The probability that a 95% confidence interval includes the parameter of interest is 0.95.Group of answer choicesTrueFalse
Solution
True.
By definition, a 95% confidence interval is an interval estimate of a population parameter that we are 95% confident contains the true value of that parameter.
This means that if we were to repeat the experiment many times, constructing a 95% confidence interval each time, we would expect the true parameter to fall within these intervals approximately 95% of the time.
So, the statement "The probability that a 95% confidence interval includes the parameter of interest is 0.95" is true.
Similar Questions
The student newspaper runs a weekly question that readers can answer online or by campus mail. One question was "Do you think the college is doing enough to provide student parking?" Of the 100 people who responded, 79% said "No".What is the 95% Confidence Interval?Group of answer choices95%+/-7.9%100+/-7979%+/-5%79%+/-10%
A confidence interval is used to estimateGroup of answer choicesthe shape of the population's distributionthe sampling distributiona sample statistica population parameter
What is the confidence coefficient when the level of significance is 0.03?Group of answer choices0.97000.03760.79240.7776
Consider the situation described in the image above. The result of this is that their confidence interval will now be: Group of answer choices about 3 times wider pretty much unchanged about 1/9 as wide about 1/3 as wide about 9 times wider
Determine the 99% confidence interval for the population mean. (Round your answers to 3 decimal places.)
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