Question

Chapter 03.1 Exercise Question 06 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayce will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that he will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.07. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals

Answer 1

Both the 95% and the 99% intervals will contain 0.25.

Explanation:

For 90% confidence level,

Since p-value > 0.05 level, we fail to reject the null hypothesis.

We conclude that 0.25 contains in 95% confidence interval.

For 99% confidence level,

Since p-value > 0.01 level, we fail to reject the null hypothesis.

We conclude that 0.25 contains in 99% confidence interval.

Therefore, Both the 95% and the 99% intervals will contain 0.25.