A study was conducted to determine if gender was associated with undergraduate major. The investigators sampled 255 college seniors at their graduation. Is there an association between gender and undergraduate major at a 5% level of significance?

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A study was conducted to determine if gender was associated with undergraduate major. The investigators sampled 255 college seniors at their graduation. Is there an association between gender and undergraduate major at a 5% level of significance?
**Enrollment Statistics by Gender and Department**

Below is a table that shows the distribution of students across different academic departments, segmented by gender. This data helps in understanding the diversity and gender distribution within each department.

|                | Chemistry | Geology | Biology | Psychology | Anthropology | Economics | Total |
|----------------|-----------|---------|---------|------------|--------------|-----------|-------|
| **Females**    | 15        | 29      | 27      | 16         | 10           | 15        | 112   |
| **Males**      | 20        | 21      | 17      | 26         | 34           | 25        | 143   |
| **Total**      | 35        | 50      | 44      | 42         | 44           | 40        | 255   |

**Key Observations:**

1. **Overall Distribution:**
   - The total number of students enrolled across all departments is 255.
   - Of these, 112 are females and 143 are males.

2. **Department-specific Distribution:**
   - **Chemistry:** 35 students (15 females and 20 males)
   - **Geology:** 50 students (29 females and 21 males)
   - **Biology:** 44 students (27 females and 17 males)
   - **Psychology:** 42 students (16 females and 26 males)
   - **Anthropology:** 44 students (10 females and 34 males)
   - **Economics:** 40 students (15 females and 25 males)

These statistics provide valuable insights for academic planning, resource allocation, and diversity initiatives. They highlight areas where there may be gender imbalances and can inform efforts to create a more equitable academic environment.
Transcribed Image Text:**Enrollment Statistics by Gender and Department** Below is a table that shows the distribution of students across different academic departments, segmented by gender. This data helps in understanding the diversity and gender distribution within each department. | | Chemistry | Geology | Biology | Psychology | Anthropology | Economics | Total | |----------------|-----------|---------|---------|------------|--------------|-----------|-------| | **Females** | 15 | 29 | 27 | 16 | 10 | 15 | 112 | | **Males** | 20 | 21 | 17 | 26 | 34 | 25 | 143 | | **Total** | 35 | 50 | 44 | 42 | 44 | 40 | 255 | **Key Observations:** 1. **Overall Distribution:** - The total number of students enrolled across all departments is 255. - Of these, 112 are females and 143 are males. 2. **Department-specific Distribution:** - **Chemistry:** 35 students (15 females and 20 males) - **Geology:** 50 students (29 females and 21 males) - **Biology:** 44 students (27 females and 17 males) - **Psychology:** 42 students (16 females and 26 males) - **Anthropology:** 44 students (10 females and 34 males) - **Economics:** 40 students (15 females and 25 males) These statistics provide valuable insights for academic planning, resource allocation, and diversity initiatives. They highlight areas where there may be gender imbalances and can inform efforts to create a more equitable academic environment.
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