Activity Overview
In this activity, simulated random sampling is used to investigate the distribution of the sample proportion; in particular, the effect of changing the sample size and the population proportion. The approximate normality of the sampling distribution for large samples is also explored.
Objectives
- Review the idea of variability in the results obtained from random samples
- Explore key features of the sampling distribution of the sample proportion
- Investigate models of the sampling distribution; in particular, the approximate normality of the distribution under suitable conditions.
Vocabulary
- Population parameter
- Population proportion
- Sample statistic
- Sample proportion/li>
- Estimator
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- Random variable
- Sampling distribution
- Binomial distribution
- Normal distribution
- Standard error/li>
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About the Lesson
In this activity, simulated random sampling is used to investigate the distribution of the sample proportion, in particular, the effect of changing the sample size and the population proportion. The approximate normality of the sampling distribution for large samples is also explored.