Select the correct answer for the following two questions:
1.The length of a 95% confidence interval is _____ the length of a 90% confidence interval
A. longer than
C. shorter than
2. if a p-value for a hypothesis test = 0.02, that means that approximately ___ of the time, we will correctly fail to reject a true null hypothesis.
The length of a 95% confidence interval is longer than the length of 90% confidence interval.
(Because as confidence level increase, the critical value which we multiply to standard error increase.
Margin of error= critical value * SE. Bigger value is subtracted from mean so length of the confidence interval increase.)
If a p value for hypothesis test=0.02, that means that approximately 95% , we will correctly fail to reject a true null hypothesis.
(Type 1 error- rejecting null hypothesis when it is true.
And 1- type 1 error is fail to reject the null hypothesis when it is true. Here type 1 error is set to 5% hence 1-0.05=0.95)
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