Sprite vs. Sprite Zero

Sprite vs. Sprite Zero

By: Sydney Wood, Kate Aguillard, Owain Snyder, and Andy Brite

Information

Study Design

Experimental Design

Sprite

Side A Record Data

Sprite Zero Compare avg. Sprite vs. Sprite Zero

100 Student Opinions RANDOMLY ASSIGN Sprite

Side B Record Data

Sprite Zero

Introduction

The Population of interest is the general public, but due to limitations of our experiment, we will only be able to generalize to Aledo High School students. We hope to be able to obtain 100 samples within two days of testing by randomly selecting students at a table outside of the cafeteria. On the left side (Side A), cups in column 1 will be filled with regular Sprite and cups in column 2 will be filled with Sprite Zero. On the left side (Side B), the opposite will be true.

We hypothesize that the majority of people are not able to tell the difference between the Sprite and Sprite Zero drinks. We decided to test this hypothesis because if one is not able to distinguish the difference between these two beverages, one could reduce calorie intake, which would further give people the same flavor, yet a healthier option.

Sample Proportion:

Yes: 20.67 No: 17.67

Spread: Range (yes)-13 Range (no)

Standard Deviation: 5.44

N: 120

Histogram

PHANTOMS Model Cont.

N 1-proportion z interval

T p= .56 μp= 0.5

standard deviation of p= √(((p(1-p))/n)

= √(((.56(.44))/120)= .045

z= (.56-.5)/.045=1.33

normcdf(1.33,99)= .092

O p-value = .092 > alpha= .05

M Fail to reject Ho

S I fail to reject that p= 0.5. The data does not provide sufficient evidence to suggest that the proportion of those who answered yes to being able to tell the difference is less than the proportion of those who answered no to the above question.

PHANTOMS Model

P p= proportion of students who are able to tell the difference between Sprite and Sprite Zero

H Ho: p= 0.5 Ha: p≠ 0.5

A Randomly selected students stated

Independent: 67<10% of all such students

Large Enough: 67≥ 10

53≥10

Normal Model Applies

PANIC Model

P: See PHANTOMS

A: See PHANTOMS

N:1-proportion z-interval

I: p= .56

standard deviation= .045

z*(invnorm(.025))= -1.96

(.4694,.6472)

ME= 1.96(((.56 x .44/120))= .09

C: I am 95% confident that the true proportion of those who answered yes to being able to tell the difference between Sprite and Sprite Zero is between .4694 and .6472