using a simple random sampling, select a sample of 12 students out of a population of 30 students comprises of 20 females and 10 males.
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To select a sample of 12 students using simple random sampling from a population of 30 students, you can follow these steps:
1. Assign a unique identifier to each student in the population, such as using numbers from 1 to 30.
2. Decide on the sample size you want, which is 12 in this case.
3. If you want the sample to be representative of the population in terms of gender, you can ensure that the sample includes a proportionate number of females and males.
- Calculate the proportion of females in the population: 20 females / 30 students = 2/3 = 0.67
- Calculate the proportion of males in the population: 10 males / 30 students = 1/3 = 0.33
- Determine the number of females in the sample: 0.67 (proportion) * 12 (sample size) = 8 females.
- Determine the number of males in the sample: 0.33 (proportion) * 12 (sample size) = 4 males.
4. Use a method to randomly select the required number of students from each gender group. You can use a random number generator or draw names from a hat for each group. Ensure that the selection is truly random and not biased.
- Randomly select 8 female student IDs from the 20 available female student IDs.
- Randomly select 4 male student IDs from the 10 available male student IDs.
5. Once you have the IDs for the selected students, you can contact or approach the respective students to participate in your study or data collection. Make sure to inform them about the purpose and nature of the study.
By following these steps, you will be able to obtain a sample of 12 students using simple random sampling from a population of 30 students with a proportionate representation of females and males.