To calculate the percentage of women selected for the 3 job positions, we need to consider how many women were chosen out of the total applicants.

Step 1: Calculate the total number of applicants

There are:

• 15 men
• 14 women

Thus, the total number of applicants is:

$15 + 14 = 29 \text{ total applicants}$

Step 2: Calculate the percentage of women selected

All 3 positions were taken by women. The percentage of women selected is the number of women chosen divided by the total number of applicants, multiplied by 100 to get a percentage:

$\text{Percentage} = \left( \frac{3 \text{ women selected}}{29 \text{ total applicants}} \right) \times 100$

$\text{Percentage} = \left( \frac{3}{29} \right) \times 100 \approx 10.34\%$

Conclusion:

The percentage of women selected for the job is approximately 10.34% of the total applicants.

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Would you like more clarification on this calculation? Here are five related questions you might find useful:

1. What is the probability that all 3 positions were taken by women by chance?
2. How would the percentage change if 2 women and 1 man were selected?
3. How can we calculate the odds of selecting 3 women from this pool of applicants?
4. What statistical methods could help analyze gender bias in this selection process?
5. How does the total pool of applicants impact the interpretation of these percentages?

Tip: When calculating percentages, always ensure the numerator (in this case, women selected) corresponds accurately to the total group being considered.