The World Manatee Preservation Society has determined that regional manatee populations can be classified as "endangered" if the proportion of juvenile manatees is less than 32%. The State of Florida wants to determine if its population of manatees is endangered. A State biologist generates a random sample of 120 of the State's manatees and determines that 28% of the sampled manatees are juveniles. To determine if this sample provides evidence that the State's manatee population is endangered, specify the appropriate alternative and null hypotheses, and test the null hypothesis at the .05 level of significance. Briefly interpret your results. Specify any assumptions. (14 pts.) Upload the file with your calculations and answers.Suppose you are a budget analyst employed by a small city. You are asked by the city manager to determine if the city has the same mean income per person as the average U.S. city. To address this problem, you randomly select 250 of the city's residents. You submit their names to the state's department of finance, which provides you with these residents' personal incomes. Using this sample data, you determine that the mean income per person (i.e., per capita) is $46,809 with a standard deviation of $4625. The mean per capita income for the U.S. urban population for this year is estimated by the Census Bureau to be $43,994. a. Assuming a normal distribution for the population, derive and test the appropriate hypotheses which will answer the city manager's question. Use alpha = .01. Specify all assumptions necessary, and briefly (2-3 sentences) interpret the results. (13 points) b. When you present your results, the city manager asks for a confidence interval estimate for the population mean at alpha=.05. Construct this confidence interval and briefly interpret the results. (9 points) Upload the file with your calculations and answers. Upload Choose a File