Question

Question Most global organizations consider aligning an incentives and rewards system with employee roles critical to success. However, is there a difference among North American, European, and Asian organizations in the proportion of organizations that are adopting an incentives and rewards system that aligns with employee roles? A random sample of 183 North American organizations, 160 European organizations, and 138 Asian organizations were surveyed and were asked to indicate if they are adopting an incentives and rewards system that aligns with employee roles. The study showed that 135 North American organizations, 98 European organizations, and 78 Asian organizations are adopting an incentives and rewards system that aligns with employee roles. a. What are the null and alternate hypothesis for determining if there is a difference among the global regions in the proportion of firms that are adopting an incentives and rewards system that aligns with employee roles? State the test that should be conducted and reason. Ho HO Test to be used and reason: b. To test your claims, you need to construct a contingency frequency table for the two categorical variables with their categories. You decide to start with the following data. Fill in the blank in the data table and contingency frequency table below: 0.01 Data Level of Significance Number of Rows (Variable 1). Number of Columns (Variable 2) Degrees of Freedom Construct the Observed Frequency Table in the following space. Fill in the variable names at the top of the rows and columns Observed Frequencies c. Construct the Expected Frequencies table in the space below. Fill in the variable names at the top of the rows and columns Expected Frequencies d. Find the test statistic. Use the space below for the calculation.

answer the questions with proper formulaes to be used in the excel

Answer 1

The hypothesis are:

H0: There is no difference among the global regions in the proportion of firms that are adpoting an incentives and rewards system that aligns with employees roles.

H1: There is significant difference among the global regions in the proportion of firms that are adpoting an incentives and rewards system that aligns with employees roles.

The test to be performed is the chi square goodness of fit test.

The number of rows is 3

The number of columns is 2

The degrees of freedon are 2

The observed frequency table is:

Organization	Yes	No	Total
North American	135	48	183
European	98	62	160
Asian	78	60	138
Total	311	170	481

The expected frequencies table is:

Organization	Yes	No	Total
North American	118.32	64.68	183
European	103.45	56.55	160
Asian	89.23	48.77	138
Total	311	170	481

The test statistic is: 11.46

The critical value is 9.21

Since, the test statistic is less than the critical value we will reject the null hypothesis at 5% level of significance and conclude that there is significant difference among the global regions in the proportion of firms that are adpoting an incentives and rewards system that aligns with employees roles.