Let $X \square \operatorname { Bin } \left( m , p _ { 1 } \right) \text { and } Y \square \operatorname { Bin } \left( n , p _ { 2 } \right)$

question 44

Multiple Choice

Let $X \square \operatorname { Bin } \left( m , p _ { 1 } \right) \text { and } Y \square \operatorname { Bin } \left( n , p _ { 2 } \right)$ with X and Y independent variables, and let $\hat { p } _ { 1 } = X / m \text { and } \hat { p } _ { 2 } = Y/ n$ Which of the following statements are not correct?

• A) \(E \left( \hat { p } _ { 1 } - \hat { p } _ { 2 } \right) = p _ { 1 } - p _ { 2 } \text {, so } \hat { p } _ { 1 } - \hat { p } _ { 2 }\)
• Is an unbiased estimator of \(p _ { 1 } - p _ { 2 }\)
• B) When both m and n are large, the estimator \(\hat { p } _ { 1 } - \hat { p } _ { \mathbf { 2 } }\)
• Individually has approximately normal distributions.
• C) When both m and n are large, the estimator \(\hat { p } _ { 1 } - \hat { p } _ { 2 }\)
• Has approximately a normal distribution.
• D) \(V \left( \hat { p } _ { 1 } - \hat { p } _ { 2 } \right) = p _ { 1 } q _ { 1 } / m \quad p _ { 2 } q _ { 2 } / n , \text { where } q _ { l } = 1 - p _ { l } \text { for } i = 1,2\)
• E) All of the above statements are correct.

Journalize basic accounting transactions for purchases, sales, and payments.

Understand the effect of transactions on account balances and the accounting equation.

Describe the process and importance of setting up a chart of accounts.

Analyze and record the changes in account balances due to transactions.

---

Definitions:

General Adaptation Syndrome

A model that describes the body's short-term and long-term reactions to stress, introduced by Hans Selye, consisting of three stages: alarm, resistance, and exhaustion.

Continued Exposure

Continued exposure refers to the repeated or prolonged contact with a stimulus or environment, often used as a psychological treatment method.

Stress

A physiological, psychological, or emotional element that induces stress in the body or mind, potentially contributing to the development of illnesses.

Alcohol

A psychoactive substance commonly found in beverages like beer, wine, and spirits, known for its intoxicating effects.