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Which of the following statements accurately describe sample size, population, and confidence level? Select all that's right
To be effective, most industries aim for a confidence level of at least 50-60%.
Confidence level deals with how strongly a data professional feels that they can rely on their sample reflecting the greater population.
Random sampling is a method that data professionals use to help address some of the issues with sampling bias.
Sample size is a part of a population that is representative of the population.
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Correct answers: only statement 3.
Explanations/corrections:
- Statement 1 (false): Industries typically aim for much higher confidence levels — common choices are 90%, 95%, or 99% — not 50–60%.
- Statement 2 (false): Confidence level is not a subjective feeling. It is a statistical measure: e.g., a 95% confidence level means the procedure used will produce intervals that contain the true population parameter about 95% of the time in repeated sampling.
- Statement 3 (true): Random sampling is indeed used to reduce sampling bias and help make a sample more representative of the population.
- Statement 4 (false): A sample is a subset of the population; "sample size" is the number of observations in that sample. A sample may be representative if drawn properly, but representativeness is not guaranteed by the term "sample size" itself.
Explanations/corrections:
- Statement 1 (false): Industries typically aim for much higher confidence levels — common choices are 90%, 95%, or 99% — not 50–60%.
- Statement 2 (false): Confidence level is not a subjective feeling. It is a statistical measure: e.g., a 95% confidence level means the procedure used will produce intervals that contain the true population parameter about 95% of the time in repeated sampling.
- Statement 3 (true): Random sampling is indeed used to reduce sampling bias and help make a sample more representative of the population.
- Statement 4 (false): A sample is a subset of the population; "sample size" is the number of observations in that sample. A sample may be representative if drawn properly, but representativeness is not guaranteed by the term "sample size" itself.
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