a population of 19,100 subjects, 59% possess a certain characteristic. In a sample of 320 subjects selected f pulation, 30% possess the same characteristic. How many subjects in the population and sample, respective s characteristic? subjects in the population possess the characteristic

MATLAB: An Introduction with Applications
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### Understanding Characteristics in Populations and Samples

In a population of 19,100 subjects, 59% possess a certain characteristic. In a sample of 320 subjects selected from this population, 30% possess the same characteristic. How many subjects in the population and sample, respectively, possess this characteristic?

#### Population and Sample Calculation

1. **Population Calculation:**
   - Given: Total Population = 19,100 subjects
   - Percentage with Characteristic = 59%
   - Calculation: \( 19,100 \times 0.59 = 11,269 \)
   
   Therefore, **11,269 subjects in the population** possess the characteristic.

2. **Sample Calculation:**
   - Given: Sample Size = 320 subjects
   - Percentage with Characteristic = 30%
   - Calculation: \( 320 \times 0.30 = 96 \)
   
   Therefore, **96 subjects in the sample** possess the characteristic.

#### Interactive Boxes Explanation:
- The interactive boxes are provided for students to input their answers. Each box has an informational icon (ℹ) that offers additional hints or explanations for better understanding.
  - The first box corresponds to the number of subjects in the population who possess the characteristic.
  - The second box corresponds to the number of subjects in the sample who possess the characteristic.
Transcribed Image Text:### Understanding Characteristics in Populations and Samples In a population of 19,100 subjects, 59% possess a certain characteristic. In a sample of 320 subjects selected from this population, 30% possess the same characteristic. How many subjects in the population and sample, respectively, possess this characteristic? #### Population and Sample Calculation 1. **Population Calculation:** - Given: Total Population = 19,100 subjects - Percentage with Characteristic = 59% - Calculation: \( 19,100 \times 0.59 = 11,269 \) Therefore, **11,269 subjects in the population** possess the characteristic. 2. **Sample Calculation:** - Given: Sample Size = 320 subjects - Percentage with Characteristic = 30% - Calculation: \( 320 \times 0.30 = 96 \) Therefore, **96 subjects in the sample** possess the characteristic. #### Interactive Boxes Explanation: - The interactive boxes are provided for students to input their answers. Each box has an informational icon (ℹ) that offers additional hints or explanations for better understanding. - The first box corresponds to the number of subjects in the population who possess the characteristic. - The second box corresponds to the number of subjects in the sample who possess the characteristic.
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