Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals?

A. Both the 95% and the 99% intervals will contain 0.25.
B. Neither the 95% nor the 99% intervals will contain 0.25.
C. Th e 95% interval will contain 0.25, but the 99% interval will not contain 0.25.
D. Th e 95% interval will not contain 0.25, but the 99% interval will contain 0.25.