please show work Problem 15 The manager of a food vendor at

please show work

Problem 15. The manager of a food vendor at AU claims that most students at AU cannot tell the difference between Coke and Pepsi in a blind taste test and hires you as a consultant. Let p be the proportion of students at AU who cannot tell the difference between Coke and Pepsi in a blind taste test. Which test should you perform to provide evidence for the managers claim?

Solution

We use Test For Significance of Difference Of Proportion
Null Hypothesis, There Is No Significance between them Ho: p1 = p2
Alternate Hypothesis, There Is Significance between them H1: p1 != p2
Test Statistic
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
we use Test Statistic (Z) =   (P1-P2)/?(P^Q^(1/n1+1/n2))