A researcher wanted to investigate which political issue is of the most concern to Canadians. In particular, the researcher wanted to find out if there was a relationship between political issue (Affordable Housing, Social Security, Healthcare) and Age (18-30, 31-50, 51+). A simple random sample of 1,000 Canadians was drawn. The results are summarized in the following table

Age Group

Political Issue

Total

Affordable Housing

Social Security

Healthcare

18-30

125

50

139

314

31-50

48

125

150

323

51+

51

213

99

363

Total

224

388

388

1000

a)[2 points]Calculate the expected frequency of the cell "Healthcare and 51+"andprovide an interpretation of its value in the context of the problem.

b)[4 points]The chi-square statistic is 161.00. Can the researcher conclude that political is independent to age among Canadian? Clearly show the steps of hypothesis testing and use an appropriate decision point value to support your conclusion.