1. What population is described by the sampling distribution of pˆ ?
2. Suppose that we will randomly select a sample of n elements from a population and that we will compute the sample proportion pˆ of these elements that fall into a category of interest. If we consider the sampling distribution of pˆ :
a. If the sample size n is large, the sampling distribution of pˆ is approximately a normal distribution. What condition must be satisfied to guarantee that n is large enough to say that pˆ is normally distributed?
b. Write formulas that express the central tendency and variability of the population of all possible sample proportions. Explain what each of these formulas means in your own words.
3. Describe the effect of increasing the sample size on the population of all possible sample proportions.