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Among these, which sampling is based on equal probability?a.Simple random samplingb.Stratified random samplingc.Systematic samplingd.Probability sampling

Question

Among these, which sampling is based on equal probability?

  • a. Simple random sampling
  • b. Stratified random sampling
  • c. Systematic sampling
  • d. Probability sampling
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Solution

In statistics, sampling methods are crucial for accurately representing a population. The question asks which sampling technique is based on equal probability. Here's a breakdown of the options:

  1. Simple Random Sampling: This technique ensures that every individual has an equal chance of being selected. It is characterized by the use of random number generation or a similar method to eliminate bias.

  2. Stratified Random Sampling: In this method, the population is divided into subgroups or strata, and simple random samples are taken from each stratum. While it aims for representativeness, not all individuals have an equal chance of selection from the entire population.

  3. Systematic Sampling: This approach involves selecting every nth individual from a list after a random starting point. It does not guarantee equal probability across the entire population.

  4. Probability Sampling: This is a broad category that includes various techniques (including simple random sampling) in which every member of the population has a known chance of being selected. This method does not inherently ensure equal probability across the board; the chances can vary based on sampling design.

Final Answer

a. Simple random sampling is the method that is based on equal probability for each individual in the population.

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