h subject in a sample of 100 men and 100 women is asked to indicate which of the following factors (one or more) are responsible for increases in teenage crime: A, the increasing gap in income between the rich and poor; B, the increase in the percentage of single-parent families; C, insufficient time spent by parents with their children. A cross classification of the responses by gender is a) Is it valid to apply the chi-squared test of independence to this 2×3 table? Explain. Explain how this table actually provides information needed to cross- classify gender with each of three variables. Construct the contingency table relating gender to opinion about whether factor A is responsible for increases in teenage crime

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Each subject in a sample of 100 men and 100 women is asked to indicate which of the following factors (one or more) are responsible for increases in teenage crime: A, the increasing gap in income between the rich and poor; B, the increase in the percentage of single-parent families; C, insufficient time spent by parents with their children. A cross classification of the responses by gender is a) Is it valid to apply the chi-squared test of independence to this 2×3 table? Explain. Explain how this table actually provides information needed to cross- classify gender with each of three variables. Construct the contingency table relating gender to opinion about whether factor A is responsible for increases in teenage crime.
Sure, here is the transcription and explanation for the given table as it would appear on an educational website.

---

### Responses by Gender

The table below presents data on responses by gender across three categories labeled A, B, and C. The numbers represent the frequency or count of responses.

| Gender |  A  |  B  |  C  |
|--------|-----|-----|-----|
| Men    | 60  | 81  | 75  |
| Women  | 75  | 87  | 86  |

**Explanation:**

- The table consists of two rows representing the genders: Men and Women.
- There are three columns labeled A, B, and C.
- For Men, the response counts are:
  - A: 60
  - B: 81
  - C: 75
- For Women, the response counts are:
  - A: 75
  - B: 87
  - C: 86

This data can be useful for understanding gender-based trends or differences in responses across the specified categories.

---
Transcribed Image Text:Sure, here is the transcription and explanation for the given table as it would appear on an educational website. --- ### Responses by Gender The table below presents data on responses by gender across three categories labeled A, B, and C. The numbers represent the frequency or count of responses. | Gender | A | B | C | |--------|-----|-----|-----| | Men | 60 | 81 | 75 | | Women | 75 | 87 | 86 | **Explanation:** - The table consists of two rows representing the genders: Men and Women. - There are three columns labeled A, B, and C. - For Men, the response counts are: - A: 60 - B: 81 - C: 75 - For Women, the response counts are: - A: 75 - B: 87 - C: 86 This data can be useful for understanding gender-based trends or differences in responses across the specified categories. ---
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