Solve the Problem As Long As $\mathrm { n } _ { 1 }$

question 6

Essay

Solve the problem.
-To test the null hypothesis that the difference between two population proportions is equal to a nonzero constant c, use the test statistic $$z = \frac { \left. \hat { \left( \mathrm { p } _ { 1 } \right. } - \hat { \mathrm { p } _ { 2 } } \right) - \mathrm { c } } { \sqrt { \hat { \mathrm { p } } _ { 1 } \left( 1 - \hat { \mathrm { p } _ { 1 } } \right) / \mathrm { n } _ { 1 } + \hat { \mathrm { p } } _ { 2 } \left( 1 - \hat { \mathrm { p } } _ { 2 } \right) / \mathrm { n } _ { 2 } } }$$
As long as $\mathrm { n } _ { 1 }$ and $\mathrm { n } _ { 2 }$ are both large, the sampling distribution of the test statistic $\mathrm { z }$ will be approximately the standard normal distribution. Given the sample data below, test the claim that the proportion of male voters who plan to vote Republican at the next presidential election is 10 percentage points more than the percentage of female voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of $0.05$ .
Men: $\mathrm { n } _ { 1 } = 250 , \mathrm { x } _ { 1 } = 146$
Women: $\mathrm { n } _ { 2 } = 202 , \mathrm { x } _ { 2 } = 103$

Identify the characteristics and outcomes of different industry structures such as constant-cost, increasing-cost, and decreasing-cost industries.

Recognize the conditions under which economic profits are realized and how they influence firm behavior and market entry or exit.

Understand the impact of supply and demand changes on market equilibrium prices and quantities.

Comprehend the principle of creative destruction and its role in economic innovation and progress.

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Definitions:

Note Payable

A written agreement where one party promises to pay another party a certain amount of money at a future date or on demand.

Accounting Equation

The foundational principle of accounting that maintains that assets equal the sum of liabilities and owner's equity.

Equity

Ownership interest in a company, representing the amount of assets that would be returned to shareholders if all debts were paid.

Balance Sheets

Financial statements that show the assets, liabilities, and equity of a company at a specific point in time, providing a snapshot of its financial position.