Please solve using R Studio

3. Suppose the case-fatality rate from neuroblastoma is usually 1/6. Furthermore, 17 fatal cases occurred among the 204 cases identified in the screening program. Test whether the case- fatality rate under the screening program is less than that from the usual case-fatality rate. What kind of hypothesis test should you run for this scenario? Give me your null and alternative hypotheses, the output from your test and a conclusion. 4. The world's smallest mammal is the bumblebee bat, also known as the Kitti's hog-nosed bat (or Craseonycteris thonglongyai as it is affectionately called). Such bats are roughly the size of a large bumblebee. Listed below are the weights (in grams) from a sample of these bats. Construct and interpret a 95% confidence interval of the "standard deviation" of weights of all such bats. Hint: You will have to load the TeachingDemos library in order to get the correct function for this problem! bats=c(1.7,1.6,1.5,1.6,1.6,1.8,1.5,1.7,1.4,1.6,1.6,1.6,1.45,1.75,1.4,1.65)