Question

A person who is interested in estimating the proportion of Reese’s Pieces that are orange collects a random sample of 150 Reese’s Pieces, and from this creates the following bootstrap distribution.

a). How many dots are on the dotplot? What does each dot represent?

Answer 1

The question involves estimating the proportion of orange Reese’s Pieces using a bootstrap distribution, where each dot on the dotplot represents the proportion in a single resample and helps understand the variability to construct confidence intervals.

Step-by-step explanation:

The question revolves around the concept of estimating the proportion of a subset within a population. In this case, the goal is to estimate the proportion of orange Reese’s Pieces in a sample. To begin with, a bootstrap distribution is generated from a random sample of candies, which involves resampling from the data and measuring the statistic of interest (in this case, the proportion of orange candies) repeatedly to generate a distribution.

Each dot on a dot plot represents the proportion of orange Reese’s Pieces in one resample. The total number of dots on the dotplot will correspond to the number of bootstrap samples taken. Although the original question did not provide the exact amount of dots, in a typical bootstrap procedure, it might be 1,000 or more to estimate the sampling distribution accurately. The dot plot is utilized to understand the variability and construct confidence intervals for the population proportion estimate.