A marketing researcher wants to investigate whether or not an individual can identify a particular soda in a blind taste test. The researcher sets up an experiment where individuals will be given a cup of Coke, either regular Coke or Diet Coke, and a cup of Pepsi, either regular Pepsi or Diet Pepsi. The researcher finds that of the 69 trials for Coke that 34 of these were correctly identified as regular Coke and for the 66 trials of Pepsi that 20 of these were correctly identified as regular Pepsi. The researcher wants to use this data to determine whether there is a difference in being able to correctly identify a regular cola or diet cola based on taste between the two brands. Use the given data and StatKey to complete this investigation. There is no data set (i. e. . csv file) provided for this investigation.
a) Calculate and label the two sample proportions separately and round each value to three decimal places. Next, calculate the difference between these sample proportions of correct guesses of regular Coke and regular Pepsi by subtracting (Coke –Pepsi) . Type these calculations, label each of them, and present each of these values in your solutions document.
b) What is the parameter of interest? Use words and symbol(s) in context in your answer. Define any subscripts that you use.
