A live action role-playing game (LARP) is a form of role-playing game where the participants physically portray their characters in a fictional setting, while interacting with each other in character. There are game rules to dictate the interactions between players and to determine the winner of the games. A local gamemaster would like to determine how many people in the area would be interested in participating in his LARPing event. He sent out a survey to 1500 people in the area and asked if they would be interested in participating. 432 people said that they would be interested in participating in a LARPing event.
(a) State the parameter our confidence intervals will estimate.
(b) Identify each of the conditions that must be met to use this procedure, and explain how you know that each one has been satisfied.
(c) Find the appropriate critical value and the standard error of the sample proportion.
(d) Give the 95% confidence interval.
(e) Interpret the confidence interval constructed in part (d) in the context of the problem.
(f) This poll was conducted through email. Explain how undercoverage could lead to a biased estimate in this case, and speculate about the direction of the bias.
