Solve the Problem As Long As $\mathrm { n } _ { 1 } \text { and } \mathrm { n } _ { 2 }$

question 34

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 $$z = \frac { \left(\hat{ p _ { 1 } }- \hat{p _ { 2 }} \right) - c } { \sqrt { \hat{p _ { 1 }} \left( 1 - \hat{p _ { 1 }} \right) / n _ { 1 } + \hat{p _ { 2 } }\left( 1 - \hat{p _ { 2 } }\right) / n _ { 2 } } }$$ As long as $\mathrm { n } _ { 1 } \text { and } \mathrm { n } _ { 2 }$ 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: $\mathrm { n } _ { 1 } = 250 , \mathrm { x } _ { 1 } = 146$
Women: $n _ { 2 } = 202 , x _ { 2 } = 103$

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Definitions:

Weighted Average Method

An inventory costing method that averages out all costs of inventory available for sale during the period and assigns an average cost to each unit sold.

Applied Overhead

An accounting method that allocates estimated overhead costs to specific jobs or production units based on a predetermined rate or formula.

Direct Labor

Wages or costs directly associated with workers who are involved in the production of goods or services.

Continuous Process

A manufacturing or production process that operates without interruption, typically in industries where the product is produced in a flow rather than discrete units.