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4.6.2 Test (CsT): Statistical Analyais Queation 11 of 25 If a population consisted of \( 7,000,000 \) people, a sample of the population could consist of which of these numbers of people? A. 700,000 B. \( 7,000,000,000 \) c. \( 700,000,000 \) D. \( 70,000,000 \)

Ask by Paul Rogers. in the United States
Jan 31,2025

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Only 700,000 is a possible sample size for a population of 7,000,000 people.

Solución

In statistical sampling, the sample size must **not exceed** the population size. Given a population of \( 7,000,000 \) people, let's evaluate each option: - **A. 700,000** This is **less than** 7,000,000 and is a valid sample size. - **B. 7,000,000,000** This is **1,000 times larger** than the population, which is **not possible**. - **C. 700,000,000** This is **100 times larger** than the population, which is **not possible**. - **D. 70,000,000** This is **10 times larger** than the population, which is **not possible**. **Conclusion:** Only **Option A (700,000)** is a feasible sample size from a population of \( 7,000,000 \) people. **Answer:** **A. 700,000**

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Mind Expander

When it comes to statistical analysis, a sample is always a subset of the population. This means that the number in the sample must be less than or equal to the total population size. In this case, since the population consists of 7,000,000 people, options like \( 7,000,000,000 \), \( 700,000,000 \), and \( 70,000,000 \) vastly exceed the population limit and are not valid sample sizes. The only option that fits the criteria is \( 700,000 \), which is a valid subset of the population. Sampling this size would allow for a statistically significant representation of the broader population, ensuring that you get reliable data to make informed conclusions. Always remember: a sample must be a reasonable portion of the whole!

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