For each of the following cases 1-State the Null and Alternative hypothesis 2-State if it is one- or two-sided 3-State if it involves one population or two 4-What type of test statistics to use Question 2 1- A humanitarian organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the humanitarian organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed. a. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased since the wells were put in place. b. Calculate the value of the test statistic, critical value(s) and the p-value. C. At the 5% significance level, can you conclude that the number of babies falling ill due to typhoid has decreased? Use 1) critical values, 2) P-value, and 3) Confidence interval methods 2- An engineer wants to know if the average amount of energy used in his factory per day has changed since 2005. The factory used an average of 2000 megawatt hours (mwh) per day prior to 2005. Since 2005, the engineer surveyed 400 days and found the average energy use was 2040 mwh per day. Assume that the population standard deviation is 425 mwh per day. a. Specify the null and alternative hypotheses to determine whether the factory's energy use has changed. b. Calculate the value of the test statistic, critical value(s), and the p-value. C. At the 5% significance level, can you conclude that the energy usage has changed? Use 1) critical values, 2) P-value, and 3) Confidence interval methods