Question

In: Statistics and Probability

Which of the following are correct general statements about confidence intervals, as discussed in this class?...

Which of the following are correct general statements about confidence intervals, as discussed in this class?

(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)

In general: The higher the confidence level, the wider the associated confidence interval.

In general: A point-estimate has a positive percentage level of confidence associated with it.

In general, for a given confidence interval: Confidence levels and probability values are different ideas.

In general, for a given confidence interval: Confidence levels and probability values are the same idea.

For a given confidence interval: The confidence level can be understood as the long-run success rate of the method used to generate the interval.

In general: A point-estimate has a zero-percent level of confidence associated with it.

In the formula for a Confidence Interval for a Population Proportion p : The z*value (also called the critical value) controls the confidence level.

In general: The higher the confidence level, the narrower the associated confidence interval.

Solutions

Expert Solution

In general: The higher the confidence level, the wider the associated confidence interval. (correct due to higher confidence level gives higher critical value )

In general: A point-estimate has a positive percentage level of confidence associated with it. (not correect)

In general, for a given confidence interval: Confidence levels and probability values are different ideas. (not correect)

In general, for a given confidence interval: Confidence levels and probability values are the same idea.(correct because we use probability word to interpret the confidence interval)

For a given confidence interval: The confidence level can be understood as the long-run success rate of the method used to generate the interval. ((not correect)

In general: A point-estimate has a zero-percent level of confidence associated with it. ( correect)

In the formula for a Confidence Interval for a Population Proportion p : The z*value (also called the critical value) controls the confidence level. (correct but it also depends on sample size )

In general: The higher the confidence level, the narrower the associated confidence interval. (not correct)


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