Problem 5 . A comprehensive UNEP report on Latin America and the Caribbean was published recently. One study included in the report discussed changes in wetland areas in terms of sheer size - number of hectares of each wetland area in 1990 and 2000. Researchers want to know if the average size of the wetlands areas has decreased when comparing the more recent 2000 size to the 1990 size. a. What parameter should be used to address the researcher' squestion? ,ud ,ul [.12 b. State the hypotheses you would test (be sure to define your order of subtraction) to address the researcher'squestion. c. You can assume the 28 wetland areas surveyed are a representative sample of wetlands areas, and that the observations are independent. What other assumption needs to be valid to perform your hypothesis test, and what graphs (specifically) would you make to check that assumption? (i.e. if you say bar chart - bar chart of what?) d. Assuming the conditions hold, complete your test procedure. Using the R output appropriate for your choice in a., provide the test statistic (notation and value) and p-value for your hypotheses. Paired ttest (2000-1990) t = -2.754, df = 27, p-value = 0.01041 alternative hypothesis: true difference in means is not equal to 0 Welch Two Sample ttest (2000-1990) t =- 0.1929, df = 53.742, p-value = 0.8478 alternative hypothesis: true difference in means is not equal to 0 Test statistic: = What is the distribution of the test statistic assuming the null hypothesis is true? (Be specific). p-value = e.) Interpret your p-value. f) What is your decision at a .01 significance level. Reject Ho Do not reject Ho