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Starbursts Statistical Test

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by

Amy Spotts

on 4 May 2016

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Transcript of Starbursts Statistical Test

Hypothesis
Is there an even amount of Starburst flavors in each package?
H0: the proportion of Starburst candies is evenly distributed (p=.25)
HA: the proportion of Starburst candies is not evenly distributed (p=.25)
Chi-Squared GOF Test
Orange: 49 40
Strawberry: 30 40
Lemon: 37 40
Cherry: 44 40
Total: 160 40
Conclusion
If the null hypothesis is true, and the true proportion of Starburst candies in each bag is equal to the numbers released by Mars, Inc, then we would expect our sample results or values to be different from that 16.11% of the time. Since our p-value is greater than our alpha level, we will fail to reject our null hypothesis. Our results are not statistically significant. We have reason to believe that Starbursts are evenly distributed.
Starburst Commercial 1986
Supplies/Procedure
Purchased 2 14-ounce bags of Starbursts from different stores-Walmart and Target
Counted all of the candies out of the bags & added them together
Performed a Chi-Squared Goodness of Fit test
To get expected values we multiplied our total number of Starbursts by the assumed probability, .25
Starburst Statistical Test
By: Amy Spotts &
Abby Westphal

Mars, Inc. claims you have a 25% chance of getting each flavor in any bag-Strawberry,Lemon, Cherry, and Orange
Why This Product?
We had suspicions that Starbursts were not distributed, similar to the test that we performed in class with the M&M's.
Observed
Expected
df: 3
p= .1611
X²= 5.15
alpha level= .05
Expansion of the Experiment
To expand our experiment, we could:
expand the sample size
incorporate other types of Starbursts
compare these results to those of other Mars Company candies
ex: M&M's, Skittles, Malteasers, etc
Full transcript