Question

If we have a 90% confidence interval for a population parameter, then A. 10% of the time, the population parameter will lie outside of the interval. B. 10% of the time, the population parameter will be lower than the LCL. C. 10% of the time, the population parameter will be higher than the UCL. D. All of the above will hold.

Answer 1

Answer: A. 10% of the time, the population parameter will lie outside of the interval.

Step-by-step explanation:

If we have $b\%$ confidence interval is that we are $b\%$ certain that it contains the true population parameter in it.

Similarly , if  we have a 90% confidence interval for a population parameter, then we are 90% certain that it contains the true population parameter in it.

i.e. 10% not certain that it contains the true population parameter in it.

i.e. 10% of the time, the population parameter will lie outside of the interval.