In this post, we understand the concept of the sample proportion [katex] \hat{p} [/katex] as a random variable whose value varies between samples, and the formulas for the mean [katex] p [/katex] and standard deviation [katex] \sqrt{p(1-p)/n} [/katex] of the sample proportion [katex] \hat{p} [/katex]. This syllabus dot point is a part of the QCE Maths Methods course under the topic Interval Estimates for Proportions and the Normal Distribution and sub-part Sample Proportion.

### Sampling distribution of sample proportion

##### Part 1