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True or False? If we are given a significance level of alpha= 0.01 and we calculate...

True or False?

If we are given a significance level of alpha= 0.01 and we calculate a p-value of 0.008, then we fail to reject the null hypothesis.

When we create confidence intervals, the interval is always an estimate of the statistic, not the parameter.

When we create confidence intervals, the value in the center of the interval is always the observed statistic from our sample.

Holding all other things constant, a 99% confidence interval will always be wider than a 95% confidence interval.

If we are testing Ho: mu=72 versus Ha : mu not equal 72 and we reject the null hypothesis, then that tells us that 72 will be in the associated confidence interval estimate of the population parameter.

As the sample size gets bigger, the margin of error in a confidence interval gets bigger.

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