Wine was presented to tasters in four containers labeled A,B, C,D with two of th

Question

Wine was presented to tasters in four containers labeled A,B, C,D with two of these containing the reserve wine and the other two the regular wine. Each taster randomly selected 3 containers, tasted the selected wines and indicated which of the three he/she believed was different from the other two. Of the n=855 tasting trials, 346 resulted in correct distinctions. Does this provide compelling evidence for concluding that tasters of this type have some ability to distinguish between the reserve and regular wines? State the and test the relevant hypothesis using th P-Value approach. Are you particularly impressed with the ability of tasters to distinguish between the two types of wine?

Explanation / Answer

N is sufficiently large (more than 10 successes and failures) I'll accept the people were randomly chosen etc. so I can continue Less than 10% of possible tasters, sounds fine. Ho: pi=.33333 Ha: pi does not equal .33333 pi is percent of tasters who guessed correctly. 346/855=0.404678363 (0.404678363-.33333)/sqrt(.333*.6666/855)=4.42804779 as it's zscore. I can plug it in if you want, but that's a very large z score, even for a two tailed test. 4.8*10^-6 = P. Because P is sufficiently small (I don't know alpha), I reject the null hypothesis. Data suggests that tasters of this type have some ability to distinguish between the reserve and regular wines. No, that's their job. They're better than random guessing, but I'd need a comparison with the general populace.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.