Answer
a. The claim cannot be supported.
b. The claim cannot be supported.
c. No, the rates are not the same.
Work Step by Step
a. We want to see if the mean change is less than $\frac{11,604}{58,593}=.18804$, so we know $H_0: \mu = .18804$ and $H_1: \mu\ne .18804$. We now use a Ti-84 calculator. To solve, go to "Stat," then "Tests," and then select "Stats." Doing this, we find that the critical value and use a z-table calculator to find that p is 0.000, meaning that the claim is not supported.
b. We use a ti-84 to find the confidence interval. To do this, we press “Stat” and then select “Tests.” Next, we select “2-PropZInt” to conduct the test. Doing this, we find that the confidence interval does not go through 0. This means that the survival rates are not the same during the day and during the night.
c. The results show that the survival rates during the day and during the night are not the same.