The SuperBean Sweet Company manufactures a lolly that comes in many different colours. These lollies are sold in jars with each jar containing exactly 100 lollies. The jars are filled by machine. The cost of manufacturing the lollies that are black is greater than the manufacturing costs of the other lollies so the company wants only 15% of the lollies in each jar to be black. To check that this requirement is satisfied the production controller randomly selects one filled jar from each machine. Machine A Machine B The jar filled by Machine A contains 11 black lollies. The jar filled by Machine B contains 13 black lollies. You need to only select one of the jars to answer the questions that follow. n pp pp z )1( 00 0 You are expected to read this material and think about the problems before attempting to solve them. Stat1250 SGTA 12: Tests of Categorical Data Copyright Macquarie University 20212 z-Test of a Proportion 1. Are the machines satisfying the requirement that only 15% of the lollies in a jar are black? Using the jar of your choice and a z test of a population proportion, determine whether the requirement is being met. In this question we are concerned with the proportions of black lollies in the jars so we are testing whether the population proportion of black lollies is 15%.