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Random Sampling Probability Formula:
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Random sampling probability refers to the likelihood that any individual member of a population will be selected in a random sample. It represents the ratio of sample size to population size.
The calculator uses the simple probability formula:
Where:
Explanation: This formula calculates the probability that any single individual from the population will be included in a simple random sample.
Details: Understanding sampling probability is crucial for research design, statistical analysis, and ensuring representative samples in studies. It helps determine appropriate sample sizes and assess selection bias.
Tips: Enter the sample size and population size as whole numbers. The sample size must be less than or equal to the population size. Results are displayed as percentages.
Q1: What is simple random sampling?
A: Simple random sampling is a method where every member of the population has an equal chance of being selected for the sample.
Q2: When is this probability calculation applicable?
A: This calculation applies to simple random sampling without replacement, where each selection is equally likely and independent.
Q3: What if my sample size exceeds the population size?
A: The calculator will not compute results as sample size cannot exceed population size in proper sampling.
Q4: How does this relate to margin of error?
A: While sampling probability indicates selection likelihood, margin of error relates to the precision of sample estimates in representing the population.
Q5: Are there other sampling methods with different probabilities?
A: Yes, stratified, cluster, and systematic sampling methods have different probability structures that require more complex calculations.