Which of the following descriptions of confidence intervals is correct? (Select all that apply)

a. If a 95% confidence interval contains 0, then the 99% confidence interval contains 0

b. If a 99% confidence interval contains 0, then the 95% confidence interval contains 0

c. If a 95% confidence interval contains 1, then the 99% confidence interval contains 1

d. If a 99% confidence interval contains 1, then the 95% confidence interval contains 1

e. None of the above are correct about confidence intervals.

I Want to say E but i am having a hard time with all the confidence intervals. I understand that 95% means we are 95% positive and 99% means we are 99% positive but comparing them I want to say no. That if its a certain number at 95% then wouldn't the number increase at 99%.

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  1. The 99% confidence interval is wider than the 95%.

    If something is in the 99% then it has to be in the 95% interval

    Since it seems that a and d would be correct, it makes me think that your teacher is trying to show you that confidence intervals can always be different because you are taking different samples from the population. You can't say with certainty what will be in one confidence interval. The only way you could would be if you used the same data to make both the 95% and 99% confidence interval. If you took different samples then the answer would have to be e.

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