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Satisfaction with FDI In a CRISIL Survey conducted in India in April 2003, laborers were asked, "Are you satisfied with the Foreign Direct Investment (FDI) in the country?" In response, \(62 \%\) of senior management, \(48 \%\) of middle management, and \(28 \%\) of wage earners said Yes. Assume that anyone who did not answer Yes answered No. Suppose the number of senior management employees polled was 700 , the number of middle management employees was 900 , and the number of wage earners was 400 . a. Create a two-way table with counts (not percentages) that starts as shown here. b. What is the probability that a person randomly selected is a wage earner given they said Yes? c. What is the probability that a person randomly selected is a top-level manager given they said Yes? d. What is the probability that a person randomly selected said Yes given they are a wage earner? e. What is the probability that a person randomly selected from the entire group is a middle-level manager AND said No?

Step by step solution

01

Construct a two-way table

First, calculate the total number of employees who said \'Yes\' for each management level. The counts are obtained by multiplying the given percentages by the total number of employees in each level. For instance, for senior management level, it would be \(0.62*700=434\). Similarly, for middle management it would be \(0.48*900=432\), and for wage earners, \(0.28*400=112\). To obtain the count of employees who said \'No\', subtract the count of \'Yes\' from the total count of employees for each level. For instance, for senior management level, it would be \(700-434=266\), and so on. The two-way table can now be constructed.

02

Calculate the probabilities

First compute the total number of employees who responded to the survey, and total number of employees who responded \`Yes\`. For example, the total number of employees would be \(700 + 900 + 400 = 2000\), and the total number of \`Yes\` responses would be \(434 + 432 + 112 = 978\). The Probability for each case is then calculated by using the formulas for conditional probability. The formula used depends on the question asked. For example, to find the probability that a person randomly selected is a wage earner given they said \`Yes\`, the formula \((|A \cap B| / |B|)\) should be used. Substituting the prepared values, we get \((112 / 978)\). The process is repeated for all the remaining questions.

03

Wrap up and validate results

Looking through the table and proofreading the calculated probabilities, ensure everything adds up and is consistent with the problem statement.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Two-Way Table

A two-way table is a simple tool that allows us to see the relationship between two categorical variables. In this context, we use it to analyze survey responses. We organize data into rows and columns, with each category labeled clearly. For the CRISIL Survey, we have the satisfaction status, either 'Yes' or 'No', and the employment level: 'Senior Management', 'Middle Management', and 'Wage Earners'.

Here's how you build the table:

• Rows: These represent the levels of management (Senior, Middle, Wage Earners).
• Columns: These indicate responses ('Yes' or 'No').

Calculating each category's value involves multiplication. For example, if 62% of Senior Management said 'Yes', multiply the total number of Senior Managers (700) by 0.62. Repeat similar steps for each group and response type. This results in counts, providing a comprehensive view of data distribution.

The two-way table is essential for calculating probabilities, offering a clear method to visually organize and easily interpret complex data.

Survey Analysis

Survey analysis involves examining and interpreting the data collected from surveys. It's an efficient way to gauge public opinion or satisfaction—like the CRISIL Survey that asked about opinions on Foreign Direct Investment in India. Survey analysis turns raw data into meaningful information that supports decision-making.

Key elements of survey analysis:

• Data Collection: Gathering responses from varied groups like Senior Management and Wage Earners.
• Data Organization: Utilizing tools such as two-way tables to structure the responses.
• Data Interpretation: Understanding patterns, such as which group is most satisfied with FDI.

This survey gives insights into how different management levels perceive foreign direct investments. By using conditional probabilities, we determine relationships between responses ('Yes' or 'No') and specific groups (like wage earners).

Effective survey analysis not only communicates the sentiment but can also highlight areas for policy intervention or improvement, especially if certain groups show significant dissatisfaction.

Foreign Direct Investment

Foreign Direct Investment (FDI) refers to investments made by entities in one country into the businesses or assets of another country. These investments can include mergers, acquiring stakes in a foreign company, or establishing a business or office in a foreign land. FDI plays a crucial role in economic development, offering a channel for advanced technology and resources.

Factors influencing FDI:

• Regulatory Environment: Policies impacting foreign investments directly affect FDI levels.
• Market Potential: Growth prospects in the host country attract investors.
• Trade Barriers: Fewer restrictions can lead to higher FDI inflows.

In the context of the CRISIL Survey, understanding the satisfaction levels with FDI involves recognizing how investments influence various management levels. Senior management might be more positive due to observed benefits in operations or profits, while wage earners might be less satisfied due to factors like job security.

Being aware of these facets of FDI can help tailor policies to enhance its effectiveness and ensure broad-based benefits for all sectors involved.