Answer
a. The claim is supported.
b. The claim is supported.
c. Yes
Work Step by Step
a. We want to see if the mean is less than $\frac{27}{294}=.0918$, so we know $H_0: \mu = .0918$ and $H_1: \mu \lt .0918$. 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 0.5720. This is more than .05, so 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 is all negative, so we see that there is a decrease in the Malaria when Bednets are used.
c. The results show that Bednets do have an impact on infection rate.
