____________
___Taste Test Project Example 1—“a Pvalue that is just barely less than
α
” p.
2008
Susan Mathews Hardy
[email protected]
1
To: Ms. Hardy
From: Susie Example—9:30 a.m. Class Elementary Statistics
Date: March 18, 2008
Re: Root Beer Taste Test
are included in this email. The detailed analysis is in the appendix accompanying this document.
The summary of the conclusions follows.
student opinions. Although the hypothesis test showed a preference for Big K, the Pvalue of
.0955806607 was so close to the significance level of .10, that the significance of my sample
result was marginal at best.
This conclusion was confirmed by the fact that the 90% confidence interval tells us that the true
proportion of students who preferred Big K is between 51% and 77%. Since this interval almost
includes the “no preference” proportion of 50%, I would suggest that you not buy stock in either
company.
If you would like to pursue the viability of this investment further, I would suggest that we
increase the sample size and redo the test to enable us to have a more accurate estimate of the
true preference for Big K. By increasing the sample size from the existing 36 people to 576
people, we would reduce the margin of error from the current 13% to approximately 3%.
Again, my detailed analysis follows. If you have any further questions, please contact me.
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___Taste Test Project Example 1—“a Pvalue that is just barely less than
α
” p.
2008
Susan Mathews Hardy
[email protected]
2
Appendix
Experimental Design
I used the Completely Random Design for my experiment. I took 36 KSU students and randomly
it so there were 18 people in each treatment group. (See Random Assignment to Treatments
section below.) Both root beers were in threeounce cups that looked alike, with the exception
that each cup had the number one or two on it. Before the participants picked up their cups, I
instructed them not to express facially or vocally their preference for the root beers, and not to
talk to each other. I did not let the participants know which brands were being tested.
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 Spring '08
 Hardy
 Statistics, Statistical hypothesis testing, Susan Mathews Hardy

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