#### 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 different to $\frac{27}{294}=0.0918$, so we know $H_0:μ=0.0918$ and $H1:μ\lt0.0918$. 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 $p=0.5720$. $p\gt0.05$, hence 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 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.