Subjects statistics

Student Work Percentage 653D44

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1. **State the problem:** Calculate the following from the third table about undergraduate university students: (c) What percentage of the female students worked part-time? (e) What percentage of students that work part-time are female? (g) What proportion of students that do not work part-time are male? 2. **Given data from the table:** - Females who work part-time: 67 - Males who work part-time: 88 - Total who work part-time: 155 - Females who don't work part-time: 31 - Males who don't work part-time: 37 - Total who don't work part-time: 68 - Total females: 98 - Total males: 125 - Total students: 223 3. **Formulas and rules:** - Percentage formula: $$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$$ - Proportion formula: $$\text{Proportion} = \frac{\text{Part}}{\text{Whole}}$$ 4. **Calculate (c) Percentage of female students who worked part-time:** $$\text{Percentage} = \frac{67}{98} \times 100$$ Calculate fraction: $$\frac{67}{98} \approx 0.6837$$ Multiply by 100: $$0.6837 \times 100 = 68.37\%$$ 5. **Calculate (e) Percentage of students that work part-time who are female:** $$\text{Percentage} = \frac{67}{155} \times 100$$ Calculate fraction: $$\frac{67}{155} \approx 0.4323$$ Multiply by 100: $$0.4323 \times 100 = 43.23\%$$ 6. **Calculate (g) Proportion of students that do not work part-time who are male:** $$\text{Proportion} = \frac{37}{68}$$ Calculate fraction: $$\frac{37}{68} \approx 0.5441$$ 7. **Final answers:** - (c) Approximately 68.37% of female students worked part-time. - (e) Approximately 43.23% of students who work part-time are female. - (g) Approximately 0.5441 (or 54.41%) of students who do not work part-time are male.