Provide an Appropriate Response $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 }$

question 38

Short Answer

Provide an appropriate response.
-Test the hypothesis that $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 }$ . Use $\alpha = 0.02$ . The sample statistics listed below are from independent samples. Sample statistics; $\mathrm { n } _ { 1 } = 1000 , \mathrm { x } _ { 1 } = 250$ , and $\mathrm { n } _ { 2 } = 1200 , \mathrm { x } _ { 2 } = 195$ .

---

Definitions:

Sensitivity Coefficients

Measurements that indicate how much the output of a mathematical model or system can change in response to changes in its inputs.

Macroeconomic Factor

A variable or element that impacts the broader economy, including aspects like inflation, unemployment, monetary and fiscal policies.

Mean-Variance Efficient Portfolio

An investment portfolio constructed to offer the highest expected return for a given level of risk, or the lowest risk for a given level of expected return, based on mean-variance optimization.

Expected Returns

The anticipated profit or loss from an investment, based on projections or historical data.