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: $n _ { 2 } = 202 , x _ { 2 } = 103$

Distinguish between genetic disorders caused by dominant and recessive genes.

Recognize the role of ethnicity and gender in the prevalence of specific genetic disorders.

Understand the principles and limitations of prenatal diagnostic techniques.

Evaluate the risks and benefits of prenatal genetic testing.

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Definitions:

SAT Scores

Scores from the Scholastic Assessment Test, a standardized test commonly used for college admissions in the United States.

Research Hypotheses

Statements made by researchers predicting a relationship, effect, or difference between variables in an experimental study.

Comparisons Between Groups

The process of examining differences and similarities between two or more groups in research.

F Ratio

A statistical measure used in ANOVA tests to assess the variability among group means compared to within-group variability.