Your friend thinks that expensive wine is worth the money, but you are not so sure. You decide on an experimental set up. You will buy pairs of bottles of wine - one cheap and one expensive and get your friend to taste them both in a blindfold test. She will say which one she prefers and you will record if her preference is for the expensive wine. Your finances stretch to purchasing 8 pairs of bottles.

a)[1mark]What should your null hypothesis be?

b)[3marks]What distribution could be used to model the number of times your friend prefers the expensive bottle from the pair? Give all relevant parameters.

c)[2marks]What is your alternative hypothesis? Should it be one or two-sided?

d)[2marks]Your friend prefers the expensive bottle 6 times out of 8. Give an Excel command using the function BINOM.DIST and use it to calculate the p-value.

e)[2 marks]Interpret what the p-value means.