To Test the Null Hypothesis That the Difference Between Two

question 15

Essay

To test the null hypothesis that the difference between two population proportions is
equal to a nonzero constant c, use the test statistic $$z = \frac { \left( \hat { p } _ { 1 } - \hat { p } _ { 2 } \right) - c } { \sqrt { \hat { p } _ { 1 } \left( 1 - \hat { p } _ { 1 } \right) / n _ { 1 } + \hat { p } _ { 2 } \left( 1 - \hat { p } _ { 2 } \right) / n _ { 2 } } }$$
As long as $n _ { 1 }$ and $n _ { 2 }$ are both large, the sampling distribution of the test statistic $z$ 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 15 percentage points more than the percentage of female voters who plan to vote Republican. Use the $P$ -value method of hypothesis testing and use a significance level of $0.10$ .
Men: $n _ { 1 } = 250 , x _ { 1 } = 146$
Women: $n _ { 2 } = 202 , x _ { 2 } = 103$

Discuss the accuracy and implications of the statement that bankruptcy is a way to avoid paying debts.

Explain the status of a bankrupt individual post-discharge.

Evaluate the protection of creditor's interests during the bankruptcy and insolvency process.

Discuss alternatives to bankruptcy and their benefits.

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Definitions:

Total Sum Of Squares

A statistical measure representing the total variance in a dataset that is used to calculate the standard deviation and variance.

Sales

The exchange of goods or services for money; in a business context, it refers to the transactions leading to revenue.

Profits

Financial gains realized when the revenue earned from business activities exceeds the expenses, costs, and taxes involved in sustaining the activities.

Intercept

In the context of linear regression, this represents the expected value of the dependent variable when all independent variables are zero; it is the point at which the regression line crosses the y-axis.