## 8.1 An Introduction to Inference for a Proportion

An introduction to inference procedures for a single proportion. I discuss confidence intervals and hypothesis testing methods for a single proportion, based on the normal approximation. This video does not do an example of the calculations — I work through an example in another video.

## 8.2 The Sampling Distribution of the Sample Proportion

A discussion of the sampling distribution of the sample proportion. I discuss how the distribution of the sample proportion is related to the binomial distribution, discuss its mean and variance, and illustrate that the sample proportion is approximately normally distributed for large sample sizes.

## 8.3 Inference for a Proportion: An Example of a Confidence Interval and a Hypothesis Test

I work through an example of a confidence interval and a hypothesis test for a single proportion, using normal approximation methods (Z test and confidence interval). The male birth rate data is from: Koshy et al. (2010). Parental smoking and increased likelihood of female births. Annals of Human Biology, 37(6): 789–800.

## 8.4 Confidence Intervals for a Proportion: Determining the Minimum Sample Size

I discuss determining the minimum sample size required to achieve a given margin of error when estimating a population proportion. (For intervals based on the normal approximation.)

## 8.5 An Introduction to Inference for Two Proportions

I discuss the sampling distribution of the difference in sample proportions, and confidence intervals and hypothesis tests for the difference in population proportions (using large sample Z procedures based on the normal approximation). The male birth rate data is from: Koshy et al. (2010). Parental smoking and increased likelihood of female births. Annals of Human … Read more

## 8.6 Inference for Two Proportions: An Example of a Confidence Interval and a Hypothesis Test

I work through an example of a confidence interval and a hypothesis test for the difference in population proportions (based on the normal approximation). The example involves an experiment investigating a possible effect of magnetic pulse on the ability of homing pigeons to navigate. The data used in this video is taken from: Holland et … Read more