To see whether silicon chip sales are independent of where the XYZ country’s economy is in the business cycle, data have been collected on the weekly sales of ABC firm, and on whether the economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough. The results are given in the table below. State the null and alternative hypotheses. Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of significance, what is your conclusion? WEEKLY CHIP SALES Total         Economy High Medium Low         At Peak 39 14 12 64         At Trough  58 77 58 193         Rising 39 15 14 68         Falling 58 15 17 91         Total 193 122 101 416

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To see whether silicon chip sales are independent of where the XYZ country’s economy is in the business cycle, data have been collected on the weekly sales of ABC firm, and on whether the economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough. The results are given in the table below. State the null and alternative hypotheses.
Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of significance, what is your conclusion?
WEEKLY CHIP SALES Total        
Economy High Medium Low        
At Peak 39 14 12 64        
At Trough  58 77 58 193        
Rising 39 15 14 68        
Falling 58 15 17 91        
Total 193 122 101 416        
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