1. W HICH IS BETTER D UNKIN ’ D OUGHNUTS OR K RISPY K REME ? By: Hillary Tenney (: VS.

2. K RISPY K REME IS GREAT (: My all time favorite doughnut is Krispy Kreme, they are so delicious! Although I’ve tried Dunkin’ Doughnuts and other kinds, I keep going back to Krispy Kreme because they are way better. I can definitely taste the difference and I want to see if other people can taste it too. (:

3. M Y H YPOTHESIS H o : People wont be able to tell the difference between Dunkin’ Doughnuts and Krispy Kreme, therefore an equal amount of people will like each kind. H a : People will be able to clearly taste the difference and prefer Krispy Kreme over Dunkin’ Doughnuts. H o : p ̂ =.5 H a : p ̂ >.5

4. S URVEY My survey was blind and matched pairs. Since I wanted to see if people favored Dunkin’ Doughnuts or Krispy Kreme, I asked them which they preferred as well as their gender to see if there was any correlation. In order to make it as random as possible, I flipped a coin to see which doughnut they would try first. Heads meant they tried Dunkin’ Doughnuts first, Tails meant they tried Krispy Kreme first. Since flipping a coin is supposed to be 50/50, it should have been fair; but when I actually did it, only 12 people tried Krispy Kreme first.

5. S URVEY RESULTS Out of the 32 people that I surveyed, 20 people said that the Choice B doughnut (Krispy Kreme) tasted better. That means only12 people picked Choice A (Dunkin’ Doughnuts). 15 out of 20 girls preferred Krispy Kreme over Dunkin’ Doughnuts. (That’s 75%)

6. 1- P ROPORTION Z TEST z = 1.4142 p =.0786 p ̂ =.625 n = 32 z = 1.4142p =.0786 The p value is about 8%. This value is significant at the 10% level but not at the 1% and 5% level.

7. S O B ACK TO MY H YPOTHESIS …

8. M Y H YPOTHESIS H o : People wont be able to tell the difference between Dunkin’ Doughnuts and Krispy Kreme, therefore an equal amount of people will like each kind. H a : People will be able to clearly taste the difference and prefer Krispy Kreme over Dunkin’ Doughnuts. H o : p ̂ =.5 H a : p ̂ >.5

9. H YPOTHESIS D ECISION 20 out of 32 people that I surveyed chose the Choice B doughnut (Krispy Kreme). [That’s about 63%.] Since my result is above 50%, I must reject my null hypothesis and assume my alternate hypothesis is correct.

10. O BSTACLES Since I was limited to only surveying people in our AP Stats class and Ms. Haines’ Pre – Calc Class, it was a convenience sample. Also, since all of the people in those two classes are between the ages of 16 and 18, I cant conclude that my results are accurate for all age groups.

11. D OUGHNUT P REFERENCE G UYS V S. G IRLS