A researcher wants to determine if there is an association between gender and political party association. She interviewed 1000 random individuals and recorded their gender and their political party. The results are shown in the table below. Conduct the appropriate hypothesis test using a 0.05 significance level. What are the hypotheses? a.H0: p1 = p2HA: p1 > p2 b.H0: p1 = p2HA: p1 < p2 c.H0: Gender and Political Party association are related.HA: Gender and Political Party association are associated. d.H0: Gender and Political Party association are independent.HA: Gender and Political Party association are associated. e.H0: Gender and Political Party association are associated.HA: Gender and Political Party association are independent. a.133.33 b.2.5 c.10 d.50 e.40 f.133What is the chi-square contribution for male independents? a.10 b.40 c.16.3207 d.-10 e.2.5 f.0.25 The table presented displays voting preferences segmented by gender, providing a clear quantitative distribution of Republican, Democrat, and Independent selections among males and females.### Table Description#### Voting Preferences by Gender:| | Republican | Democrat | Independent | Row total ||--------------|------------|----------|-------------|-----------|| **Male** | 200 | 150 | 50 | 400 || **Female** | 250 | 300 | 50 | 600 || **Column total** | 450 | 450 | 100 | 1000 |### Detailed Breakdown1. **Rows:** - **Male:** Indicates the voting preferences of male respondents, totaling 400 individuals. - Republicans: 200 - Democrats: 150 - Independents: 50 - **Female:** Indicates the voting preferences of female respondents, totaling 600 individuals. - Republicans: 250 - Democrats: 300 - Independents: 502. **Columns:** - **Republican:** Shows the total number of respondents identifying as Republican, segmented by gender. - Male: 200 - Female: 250 - Total: 450 - **Democrat:** Shows the total number of respondents identifying as Democrat, segmented by gender. - Male: 150 - Female: 300 - Total: 450 - **Independent:** Shows the total number of respondents identifying as Independent, segmented by gender. - Male: 50 - Female: 50 - Total: 1003. **Total Population:** - The total number of respondents surveyed is 1,000, as indicated by the "Column total" and "Row total".This table serves as an informative tool to understand voting trends and preferences among different genders within the survey sample.

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A researcher wants to determine if there is an association between gender and political party association. She interviewed 1000 random individuals and recorded their gender and their political party. The results are shown in the table below. Conduct the appropriate hypothesis test using a 0.05 significance level.

What are the hypotheses?

	a.	H₀: p₁ = p₂ H_A: p₁ > p₂
	b.	H₀: p₁ = p₂ H_A: p₁ < p₂
	c.	H₀: Gender and Political Party association are related. H_A: Gender and Political Party association are associated.
	d.	H₀: Gender and Political Party association are independent. H_A: Gender and Political Party association are associated.
	e.	H₀: Gender and Political Party association are associated. H_A: Gender and Political Party association are independent.

	a.	133.33
	b.	2.5
	c.	10
	d.	50
	e.	40
	f.	133

What is the chi-square contribution for male independents?

	a.	10
	b.	40
	c.	16.3207
	d.	-10
	e.	2.5
	f.	0.25

The table presented displays voting preferences segmented by gender, providing a clear quantitative distribution of Republican, Democrat, and Independent selections among males and females.

### Table Description

#### Voting Preferences by Gender:

| | Republican | Democrat | Independent | Row total |
|--------------|------------|----------|-------------|-----------|
| **Male** | 200 | 150 | 50 | 400 |
| **Female** | 250 | 300 | 50 | 600 |
| **Column total** | 450 | 450 | 100 | 1000 |

### Detailed Breakdown

1. **Rows:**
- **Male:** Indicates the voting preferences of male respondents, totaling 400 individuals.
- Republicans: 200
- Democrats: 150
- Independents: 50

- **Female:** Indicates the voting preferences of female respondents, totaling 600 individuals.
- Republicans: 250
- Democrats: 300
- Independents: 50

2. **Columns:**
- **Republican:** Shows the total number of respondents identifying as Republican, segmented by gender.
- Male: 200
- Female: 250
- Total: 450

- **Democrat:** Shows the total number of respondents identifying as Democrat, segmented by gender.
- Male: 150
- Female: 300
- Total: 450

- **Independent:** Shows the total number of respondents identifying as Independent, segmented by gender.
- Male: 50
- Female: 50
- Total: 100

3. **Total Population:**
- The total number of respondents surveyed is 1,000, as indicated by the "Column total" and "Row total".

This table serves as an informative tool to understand voting trends and preferences among different genders within the survey sample.

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