A research student wants to understand whether there is any association between income levels of countries defined by World Bank and regions in the world. the selects two regions and gathers data for herfhis analysis. The following table shows a random sample of countries from two regions and their income levels in: 30}. Use the table to answer the questions which follow. Income Levels by Region Region Low income Middle income High income su b_sa ha ra n_africa 41 6 1 east_asia_pacific 1:1 9 9 For each question, either choose the most correct option, or type in the answer to the number of decimal places specified. 1. (1 mark} What proportion of the countries in the study have middle income? l3dp) 0.175 2_ (1 mark} What proportion of the east_asia_pacific countries have low income? l3dp) [1433 3. (1 mark} What proportion of the countries have high income were located in sub_saharan_africa region? {3dp} 0.0208 The research student would like to answer the following research question: Do countries in different regions have different income levels? the sets up the following null and alternative hypotheses to answer the research question. H0 : There is no association between region and level of income. H1 : There is an association between region and level of income. 4. (1 mark} What is the expected value for countries located in sub_saharan_africa region that have low income levels? [3dp) 33.000 Assume Chisquare Test assumptions are satisfied for the following questions. 5. (4 marks} The absolute value of the test statistic is equal to {type your answer with 3 dp} 6. (1 mark} The degrees of freedom is equal to (type your answer as an integer) 0 7. (1 mark} The p-value is smaller than 0.05 8. (1 mark} We decide that 0 9. (2 mark} Our conclusion is that (choose one of the following] 0 A: We did not find any evidence for the association between region and income levels. B: We found evidence for the association between region and income levels. 10. (4 marks} We are 95% confident that proportion of countries with middle income level located in east_asia_pacific region is between (lower limit} and (upper limit}. Type your answers with 3dp