To Estimate the Total Number of Successes in a Large $$\tilde { p } \pm z _ { \alpha / 2 } \sqrt { \tilde { p } ( 1 - \tilde { p } ) / n }$$

question 50

Multiple Choice

To estimate the total number of successes in a large finite population of size N,using a sample of size n,the confidence interval estimator is:

• A) \[\tilde { p } \pm z _ { \alpha / 2 } \sqrt { \tilde
• { p } ( 1 - \tilde { p } ) / n }\]
• B) \[N \left[ \tilde { p } \pm z _ { \alpha / 2 } \sqrt { \tilde { p } ( 1 - \tilde { p } ) / n } \right]\]
• C) \[( N + n ) \left[ \tilde { p } \pm z _ { a / 2 } \sqrt { \tilde { p } ( 1 - \tilde { p } ) / n } \right]\]
• D) \[( N - n ) \left[ \tilde { p } \pm z _ { \alpha / 2 } \sqrt { \tilde { p } ( 1 - \tilde { p } ) / n } \right]\]

---

Definitions:

Preferred Stock

A class of ownership in a corporation with a higher claim on assets and earnings than common stock, often with fixed dividends.

Common Stock

A form of equity stake that signifies ownership within a corporation, granting the owner the right to vote and a portion of the corporation's earnings via dividends.

Cash Dividends

Distributions of a portion of a company's earnings, decided by the board of directors, to a class of its shareholders in the form of cash.

Stock Dividend

A type of dividend payment made in the form of additional shares of stock rather than cash, often used by companies to conserve cash.