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Math 225n week 4 discussion probability

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Week 4 Discussion: Probability
Required Resources
Read/review the following resources for this activity:
OpenStax Textbook: Chapter 2, 3
Lesson
Minimum of 1 scholarly source
In your reference for this assignment, be sure to include both your text/class materials AND your
outside reading(s).
Initial Post Instructions
Probability plays a major role in the medical community. Diagnoses are based on probabilities.
They are really questions or "what if's", and are answered by the probability that the treatment
will be the best for the ailment.
Let's look at probability in terms of both the real world and the medical community.
1. Survey 30 people to find out if they are left-handed or right-handed, and use the
following chart to create a contingency table with the information.
Left handed Right handed Total Female Male Total
2. Answer the following questions about the information in your contingency table:
a. If a person is randomly selected from the survey participants, what is the
probability that the person will be left-handed?
b. If you randomly choose a female from the people you surveyed, what is the
probability that she is left-handed?
c. What is the odds ratio of choosing a left-handed female?
d. What is the relative risk of choosing a left-handed female?
Example
Green
Blue
Total
Cats
40 (A)
20 (B)
60 (A+B)
Dogs
30 (C)
40 (D)
70 (C+D)
Total
70 (A+C)
60 (B+D)
130 (A+B+C+D)
a. Probability of Green - (A+C)/(A+B+C+D): 70/130 = 54%
b. Probability of Green Cat - A/(A+B): 40/60 = 67%
c. Odds Ratio of Green Cat - (A/B)/(C/D) or AD/BC: (40*40)/(20*30) = 1600/600 = 2.67%

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d. Relative Risk of Green Cat - [A/(A+C)]/[B/(B+D)]: (40/70)/(20/60) = 17.14%
3. Skim through at least one of the following articles on left-handed vs. right-handed people
from the Chamberlain Library. Answer the following question: How do the probabilities
and percentages for your study compare to those in the study you read?
a. https://search-proquest-
com.chamberlainuniversity.idm.oclc.org/nahs/docview/211689160/DB2AB8D1E
63B4638PQ/4?accountid=147674 (Links to an external site.)
b. https://search-proquest-
com.chamberlainuniversity.idm.oclc.org/nahs/docview/1326739712/DB2AB8D1
E63B4638PQ/10?accountid=147674
For this week’s discussion board, we are analyzing probability. According to our text,
“probability is a measure that is associated with how certain we are of outcomes of a particular
experiment or activity” (Holmes, Dean, Illowsky, & Hadley, 2017). For the assignment, I
surveyed 30 people to find out if they are left-handed or right-handed, and made a contingency
table with the collected data. I surveyed 15 males and 15 females, and the resulting data is listed
below.
Left Right Total
Women 1 (A) 14 (B) 15 (A+B)
Men 2 (C) 13 (D) 15 (C+D)
Total 3 (A+C) 27 (B+D) 30 (A+B+C+D)
Probabilities:
Probability of Left-Handed: (A+C)/(A+B+C+D) = 3/30 = 10%
Probability of Female Left-Handed: A/(A+B) = 1/15 = 6.67%
Odds ratio of choosing a left-handed female: AD/BC = 13/28 = 46.4%
Relative risk of choosing a left-handed female: [A/(A+C)] / [B/(B+D)] = [1/3] /
[14/27] = 6.4%
My math seems to have differed from others - I appreciate input in my "areas of
opportunity." For the second part of the discussion, I chose the article “Left-Handedness
in Professional and Amateur Tennis.” The summary statistics on handedness in ladies
professional tennis are similar to the probabilities and percentages obtained in my study;
they are both about 10% left-handedness. The comparison for the men differs slightly if
my data, I obtained more of a percentage of left-handed men in my small sample as
compared to the sample in the article. Similarly in comparison, according to the article
“an almost consistent finding across studies is the stronger tendency for left-handedness

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Week 4 Discussion: Probability Required Resources Read/review the following resources for this activity: • OpenStax Textbook: Chapter 2, 3 • Lesson • Minimum of 1 scholarly source In your reference for this assignment, be sure to include both your text/class materials AND your outside reading(s). Initial Post Instructions Probability plays a major role in the medical community. Diagnoses are based on probabilities. They are really questions or "what if's", and are answered by the probability that the treatment will be the best for the ailment. Let's look at probability in terms of both the real world and the medical community. 1. Survey 30 people to find out if they are left-handed or right-handed, and use the following chart to create a contingency table with the information. Left handed Right handed Total Female Male Total 2. Answer the following questions about the information in your contingency table: a. If a person is randomly selected from the survey participants, what is the probability that the person will be left-handed? b. If you randomly choose a female from the people you surveyed, what is the probability that she is left-handed? c. What is the odds ratio of choo ...
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