Frozen YogurtVs.Ice Cream

FINAL PROJECT

By: Dakota McEwen, Samantha McCracken, Jovanna De la Pena

Research Question

WHICH IS MORE PREFERABLE?

FROZEN YOGURT OR ICE CREAM?

Our Population is BYU-Idaho studentsNull Hypothesis: There is no diff erence between

preferences in frozen yogurt or ice cream Ho: p = 0

Alternative Hypothesis= Frozen yogurt is preferred over ice cream Ha: p < 0

The sampling method we used was a systematic sample surveying every 4 th person. We drew a card between 1 and 6. The card we drew was a 2

so we started with the second person.We surveyed people in the Manwaring Center. This is

a main center of travel which gives us an accurate representation of the BYU-I student population

DESIGN THE STUDY AND THE SAMPLE

We learned that collecting data can sometimes be diffi cult.

We collected data the way we designed it, in a main building and during a busy time of the day

People rejecting us or answering that they didn’t like either option were things we had not anticipated.

COLLECT THE DATA

P-hat= Standard deviation= 0.046

DESCRIBE

THE DATA

Our null hypothesis stated there is no difference in the preference of frozen yogurt and ice cream but our results show something different: that ice cream seems to be preferred.

The statistical procedure we chose to use was a One Proportion z test

Checking Requirements:n= 116 ≥ 5np= 58 ≥ 10 and n(1-p)= 58≥ 10

MAKE INFERENCE

Our data meets the requirements for our hypothesis test. As the slide before shows all of our numbers were greater than the minimum requirement. In fact we used a rather large sample sixe, thus insuring we have more accurate data results.

MAKE INFERENCE CONT.

Tests Null Hypothesis: There is no

diff erence in the preference in frozen yogurt and ice cream Ho: p= 0

Alternative Hypothesis: Frozen yogurt is preferred over ice cream Ha: p< 0

α= 0.05 Confi dence interval: 0.304

and 0.479 We are 95% confi dent that

the true proportion of students who prefer yogurt is between 0.304 and 0.479

ResultsP-value= 0.992Confi dence Interval=

0.304, 0.479 Based on the P-value and α

we fail to reject the null hypothesis.

We have insuffi cient evidence to suggest that frozen yogurt is preferable over ice cream.

Our results show that our alternative hypothesis was not correct because frozen yogurt is not preferable over ice cream.

MAKE INFERENCE CONT.

Based on the results of the study we conducted, if BYU-I were to put in an ice cream vendor it would be far more successful than a frozen yogurt vendor. Our study also may have been skewed due to the nostalgia the comes with the thought of ice cream. Which could be a big money maker at a college campus, where a lot of people tend to be homesick

There should be more marketing in Rexburg for frozen yogurt, i f people were more aware of it they would probably lean more towards it for a lot of reasons but mainly because it tasted better and it is healthier!

Suggestions that we would have for further study would to broaden the sample size to a much larger number. Another suggestion would be to ask more than just BYU-I students, include members of the faculty and even members of the community.

It would also be interesting to see if the data would have changed if while asking the question we had actually had a sample of ice cream and frozen yogurt, so that could be an adjustment made in later studies.

TAKE ACTION