Asked by Jessica Strohmenger on May 27, 2024

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The mean of the sampling distribution of the sample proportion, The mean of the sampling distribution of the sample proportion,   ,when the sample size n = 100 and the population proportion p = 0.03,is 0.03. ,when the sample size n = 100 and the population proportion p = 0.03,is 0.03.

Sampling Distribution

The likelihood distribution for a particular statistic derived from a random sample, utilized for estimating the population parameter.

Sample Proportion

The fraction of members in a sample that have a particular attribute.

Population Proportion

The fraction or percentage of members in a population that possess a particular attribute or characteristic.

  • Comprehend the process of calculating and interpreting expected values and standard errors within sampling distributions.
  • Explain and compute the configuration and metrics of sampling distributions for sample proportions and means.
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angus mckayJun 03, 2024
Final Answer :
True
Explanation :
This statement is true. According to the Central Limit Theorem, when the sample size is sufficiently large, the sampling distribution of the sample proportion will be approximately normal with a mean equal to the population proportion. In this case, the population proportion is given as p=0.03, and when the sample size is n=100, the mean of the sampling distribution of the sample proportion will be 0.03.