The correct symbol for the proportion of 0.167 observed in this study is

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BlackTom AI · Accepted Answer

Question restatement: The correct symbol for the proportion of 0.167 observed in this study is

Context note: In statistics, two symbols are commonly used to distinguish between population and sample quantities. The population proportion is denoted by p, while the sample proportion is denoted by p-hat (often written as p̂).

Option analysis, given available information:
- Since 0.167 is described as an observed proportion in a study, it represents a proportion calculated from a sample rather than the true population parameter. Therefore, the conventional symbol to represent this observed (sample) proportion is p-hat.

Reasoning about the standard notation:
- p̂ (p-hat) is defined as the sample proportion, typically computed as x/n where x is the number of successes in the sample and n is the sample size. This aligns with describing an observed value from data collection.
- In contrast, p without a hat refers to the population proportion, which is usually unknown and is what we try to estimate using p̂, notate with a hat to distinguish between the parameter and the statistic.

If options were present, the correct option would be the one stating that the symbol for the observed sample proportion is p-hat (p̂). The other common notations p or π would be incorrect in this context because they refer to population parameters or different symbols, not the observed sample proportion.

Summary without options: Given that 0.167 is reported as an observed proportion from a study’s sample, p-hat is the appropriate symbol to denote the sample proportion. The alternative conventions (without the hat) would imply a population parameter, which is not what the observed value represents.

Su25-STATS-141-01/BIO-141-01 1.2 Readiness Quiz

The correct symbol for the proportion of 0.167 observed in this study is

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类似问题

The number of defectives in 10 different groups of 50 observations each is the following: 5, 1, 1, 2, 3, 3, 1, 4, 2, 3. A larger sample of 500 observations is obtained by combining the 10 groups. Based on this combined sample, what is the sample proportion of defective items?

From a sample of 300 items, 15 are defective. The point estimate of the population proportion defective will be:

우리나라 유권자 중에서 임의로 1,000명을 추출하여 여론조사를 실시해서 복지정책의 지지율을 측정하였다. 조사결과 1,000명 중 600명이 현행 정책을 지지했다. 다음 중 틀린 설명은?

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