2. ( 15 points) In 2014 a nationally representative survey shows that 24.43% of the 176 respon dents in Slernan (a district in Yogyakarta Province) said that they are unlikely to keep up with their current standard of living in the next five years. Whereas in the City of Yo gyakarta. the percentage is at 27.40% (71 : 219). Can you say that there is a difference in the proportion of respondents unlikely to keep up with their current standard of living in the next ve years between the two locations (use 0: = 0.01)? (a) Write the hypotheses and the appropriate statistical test to answer the question. (1)) Explain why the test is appropriate. (c) Find the test statistic and argue if there is a difference in the proportion of respondents to keep lip with their current standard of living in the next ve years between the two samples