For a given inference question, follow the following thought process: a) check if it is a mean or proportions question, b) check if it is a one sample or a two sample setup , c) check conditions, and d) pick appropriate formulae.

You also need to show your work (formula setup, calculations, etc.) and state any properties or rules you need to solve the problems. Be sure to show all 4 steps of hypothesis testing and please be sure to check conditions wherever needed.

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Conduct a hypothesis test to test the claim that a majority of people prefer the taste of fresh-brewed coffee. Take = 0.05