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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 77E
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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 Mediun
Low
At Peak
43
15
13
71
At Trough
64
86
64
214
43
75
Rising
Falling
17
15
64
17
19
101
Total
214
135
111
460
Transcribed Image Text:WEEKLY CHIP SALES Total Economy High Mediun Low At Peak 43 15 13 71 At Trough 64 86 64 214 43 75 Rising Falling 17 15 64 17 19 101 Total 214 135 111 460
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