There was a 2019 survey of Pancake Eaters. Of 8,000 respondents, the analysis uncovered five clusters of pancake eaters. One of these five clusters was labeled Only Two Pancakes, and people in this cluster accounted for 31 percent of the 8,000 survey respondents.

Deductive hypothesis testing

Showing the steps, calculate the p-value associated with the estimated cluster size of 31 percent in the sample under the assumption that the true size of the cluster (also called the null hypothesis) is 20 percent. What do you conclude based on this p-value?