Answer
a) The claim cannot be supported.
b) The claim cannot be supported.
c) The rates are not the same.
Work Step by Step
a) We want to see if the mean is different to $\frac{11604}{58593}=0.18804$, so we know $H_0:μ=0.18804$ and $H1:μ\ne0.18804$. We now use a Ti-84 calculator. To solve, go to "Stat," then "Tests," and then select "Stats." Doing this, we can find that the critical value and use a z-table calculator to find that $p=0.0000$, so the claim is not supported.
b) We use a ti-84 calculator 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 can 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.
