Question #1

A random sample of 50 wine drinkers were asked the following question: do you prefer red wine or white wine? The results of the survey can be found on the "Wine" worksheet in the data pack.

a.Using a 5% significance level, conduct an appropriate nonparametric hypothesis test to determine whether wine drinkers prefer red wine to white wine. (10 marks)

H₀:[insert your null hypothesis here]

H₁:[insert your alternative hypothesis here]

a =5%

Test Statistic:

[insert the formula of your test statistic and calculations here]

Decision Rule:

[insert your decision rule statement here]

Conclusion:

[insert your conclusion here]

\fWhite Wine 27 Red Wine 28 White Wine 23 White Wine 30 Red Wine 31 Red Wine 32 Red Wine 33 Red Wine 34 Red Wine 35 Undecided 36 White Wine 37 White Wine 38 Undecided 39 Red Wine 40 Red Wine 41 Red Wine 42 White Wine 43 Red Wine 44 Red Wine 45 Red Wine 46 White Wine 47 Red Wine 48 Red Wine 49 Red Wine 50 White Wine