Final answer:
Proportion problems involve collecting categorical data with two categories, and examples include estimating the proportion of the population that smokes or the proportion that will vote for a candidate. The sample proportion distribution follows a normal distribution with a mean value of p (the population proportion) and a standard deviation of sqrt(p*q/n), where q = 1 - p and n is the sample size.
Step-by-step explanation:
When dealing with a proportion problem, the data being collected is categorical and consists of two categories, such as Yes or No, Success or Failure. Examples of proportion problems include estimating the proportion of the population that smokes or the proportion of the population that will vote for candidate A. The sample proportion distribution, denoted by P', follows a normal distribution with a mean value of p (the population proportion) and a standard deviation of sqrt(p*q/n), where q = 1 - p and n is the sample size.