Economists at USF Are Researching the Problem of Absenteeism at U.S

question 33

Multiple Choice

Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of the study, the economists had collected data on the following two variables for each company: shiftwork available (Yes or No) , and union-management relationship (Good or Poor) . As part of their analyses, the economists wanted to determine whether or not a company makes shiftwork available depends on the relationship between union and management. The collected data are
Shown below:


$\begin{array} { l c c c }&\text { Relation}\\ \text { Shiftwork } & \text { Good } & \text { Bad } & \text { Total } \\ \text { No } & 11 & 22 & 33 \\ \text { Yes } & 25 & 42 & 67 \\ \text { Total } & 36 & 64 & 100 \end{array}$

In order to determine whether the shiftwork responses depend on the relationship responses, a two-way chi-square analysis should be conducted. When calculating the test statistic, what values for the expected counts should be used in the calculation?

• A) \(\mathrm { E } _ { 11 } = 36 , \mathrm { E } _ { 12 } = 33 , \mathrm { E } _ { 21 } = 64 , \mathrm { E } _ { 22 } = 67\)
• B) \(\mathrm { E } _ { 11 } = 0.065 , \mathrm { E } _ { 12 } = 0.036 , \mathrm { E } _ { 21 } = 0.032 , \mathrm { E } _ { 22 } = 0.018\)
• C) \(\mathrm { E } _ { 11 } = 11.88 , \mathrm { E } _ { 12 } = 21.12 , \mathrm { E } _ { 21 } = 24.12 , \mathrm { E } _ { 22 } = 42.88\)
• D) \(\mathrm { E } _ { 11 } = 11 , \mathrm { E } _ { 12 } = 22 , \mathrm { E } _ { 21 } = 25 , \mathrm { E } _ { 22 } = 42\)

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Definitions:

Expanded Financial Capacity

An increase in a company or organization’s ability to secure funding or generate financial resources.

Limited Liability

A legal status where a person's financial liability is limited to a fixed sum, most commonly the value of a person's investment in a company or partnership.

Franchising Agreement

A legal contract between a franchisor and franchisee, outlining the rights, responsibilities, and terms for operating a franchise.

Franchisor

A company or individual that grants the right to operate a business under their brand and system to a franchisee.