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In a simple random sample, each member of the population has ___ chance of being selected. an unknown a different the same no

Ask by Nguyen Campos. in the United States
Mar 10,2025

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In a simple random sample, each member has the same chance of being selected.

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In a simple random sample, each member of the population has **the same** chance of being selected. This characteristic is fundamental to the concept of simple random sampling, ensuring that every individual has an equal opportunity to be included in the sample.

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In a simple random sample, each member of the population has the same chance of being selected. This means that every individual has an equal opportunity to be part of the sample, making the findings more reliable and representative of the overall population. It’s the cornerstone of fair sampling practices! This method is particularly useful when conducting surveys or experiments, as it minimizes bias and ensures that the sample reflects the diversity of the population. Imagine a giant bag of jelly beans; if you blindly grab a handful, each color has an equal shot at being chosen—voilà, a simple random sample!

Related Questions

Question 12(Mulliple Choice Warth 5 points) \[ (04.06 \mathrm{HC}) \] A researcher wants to test the claim that the proportion of juniors who watch television regularly is greater than the proportion of seniors who watch television regularly She finds that 56 of 70 randomly selected juniors and 47 of 85 randomly selected seniors report watching television regularly. Construct \( 95 \% \) confidence intervals for each population proportion. Which of the statemente gives the correct outcome of the research or's tert of the dalim? The \( 95 \% \) confidence interval for juniors is (706, 894), and the \( 95 \% \) confidence interval for seniors is ( 447,659 ). Since the intervals overlap, there is not enough evidence to say the proportion of juniors who watch television regularly may be higher than that of seniors. The \( 95 \% \) confidence interval for juniors is (721, 879), and the \( 95 \% \) confidence interval for seniors is (464, 642). Since the interval for juniors is higher than the interval for seniors, there is evidence to say the proportion of juniors who watch television regularly may be higher than that of seniors. The \( 95 \% \) confidence interval for juniors is ( 706,894 ), and the \( 95 \% \) confidence interval for seniors is ( 447,659 ). Since the interval for juniors is higher than the interval for seniors, there is evidence to say the proportion of juniors who watch television regularly may be higher than that of seniors. The \( 95 \% \) confidence interval for juniors is ( \( 721, .879 \) ), and the \( 95 \% \) confidence interval for seniors is (464, 642). Since the intervals overlap, there is not enough evidence to say the proportion of juniors who watch television regularly may be higher than that of seniors.

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