Question 2: For the purpose of illustrating the procedures, assume we know that 70% of a population agree that there is climate change. [In reality, such a proportion is unknown so it is a parameter...

Extracted text: Question 2: For the purpose of illustrating the procedures, assume we know that 70% of a population agree that there is climate change. [In reality, such a proportion is unknown so it is a parameter that we want to find, and we want to use a sample proportion (= statistics) to make an estimate of the true proportion.] We represent the fact that 70% of the population agree that there is climate change by having 70 of the 100 dots in the graphic on the right in light purple, and 30 dots in orange (representing those who do not believe in climate change). We now simulate what happens if you select a simple random sample of size 30 from these 100 people and ask them whether they believe in climate change. Below are three possible samples that could have been selected, where those selected are marked with a dot. For each of these samples, count how many of the selected individuals (those with a small black dot) in the sample are represented by a light purple dot, meaning they would have answered that they believe in climate change. Then compute the sample proportion of individuals who believe in climate change. We denote this sample proportion ( statistic) by p, to distinguish it from the true, but usually unknown, proportion p (= parameter) of the population, the one that we want to find out about. Sample 1 Sample 2 Sample 3 #of Yes in sample: sample statisticp # of Yes in sample: # of Yes in sample: sample statistic p = sample statistic p =