Blood Type Problem 1. The 8 most common blood types of people in the United States, and the percentage of people with these blood types, are shown in the table below. (Source: Stanford Blood Center, 2020) Blood Type Percentage G G%

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Analysis: Blood Types
Analysis: Blood Types, Part (a)
Refer back to the blood type data in Problem 1. Using Statdisk and assuming a binomial
probability distribution, determine the probability that 16 or fewer people in a sample of 250
have a blood type of B (either positive or negative). Express your answer to five decimal places.
Enter your answer here
Analysis: Blood Types, Part (b)
Using the Poisson probability distribution calculator on Statdisk, determine an approximation for
the probability in part (a) above. Express your answer to five decimal places.
Enter your answer here
Analysis: Blood Types, Part (b)
After you have determine these probabilities, answer the following questions in detail:
• Was it appropriate to use the Poisson probability distribution as an approximation? Why?
• What is the percent difference between the binomial probability and the Poisson probability?
• Based on this percent difference, is the Poisson distribution a decent approximation to the
binomial distribution in this case? Explain.
Enter your answer here
Transcribed Image Text:Analysis: Blood Types Analysis: Blood Types, Part (a) Refer back to the blood type data in Problem 1. Using Statdisk and assuming a binomial probability distribution, determine the probability that 16 or fewer people in a sample of 250 have a blood type of B (either positive or negative). Express your answer to five decimal places. Enter your answer here Analysis: Blood Types, Part (b) Using the Poisson probability distribution calculator on Statdisk, determine an approximation for the probability in part (a) above. Express your answer to five decimal places. Enter your answer here Analysis: Blood Types, Part (b) After you have determine these probabilities, answer the following questions in detail: • Was it appropriate to use the Poisson probability distribution as an approximation? Why? • What is the percent difference between the binomial probability and the Poisson probability? • Based on this percent difference, is the Poisson distribution a decent approximation to the binomial distribution in this case? Explain. Enter your answer here
Blood Type Problem 1.
The 8 most common blood types of people in the United States, and the percentage of people
with these blood types, are shown in the table below. (Source: Stanford Blood Center, 2020)
Blood Type
Percentage
0-
6.6%
0+
37.4%
AB-
0.6%
AB+
3.4%
B-
1.5%
B+
8.5%
A-
6.3%
A+
35.7%
Blood Type, Part (a)
Using the information in this table, what is the probability that a randomly selected person in the
United States has type B blood (either positive or negative)? Express your answer as a decimal
value.
0.10
our answer here
Blood Type, Part (b)
What is the probability that a randomly selected person does not have type B blood? Express
your answer as a decimal value.
0.90our answer here
Blood Type, Part (c)
Calculate (by hand) the mean number of people with type B blood in a random sample of 250
people. (Hint: What type of probability distribution can this be classified as?)
Enter the mean below.
E25 your answer here
Blood Type, Part (d)
Calculate (by hand) the standard deviation for the number of people with type B blood in a
random sample of 250 people. Round your answer to two decimal places.
4.74our answer here
Blood Type, Part (e)
Another random sample of n = 250 people is taken and it is determined that 12 people have
type B blood. Using the range rule of thumb, is this result significant? Show your work and
explain your reasoning.
(15.52, 34.48)
Transcribed Image Text:Blood Type Problem 1. The 8 most common blood types of people in the United States, and the percentage of people with these blood types, are shown in the table below. (Source: Stanford Blood Center, 2020) Blood Type Percentage 0- 6.6% 0+ 37.4% AB- 0.6% AB+ 3.4% B- 1.5% B+ 8.5% A- 6.3% A+ 35.7% Blood Type, Part (a) Using the information in this table, what is the probability that a randomly selected person in the United States has type B blood (either positive or negative)? Express your answer as a decimal value. 0.10 our answer here Blood Type, Part (b) What is the probability that a randomly selected person does not have type B blood? Express your answer as a decimal value. 0.90our answer here Blood Type, Part (c) Calculate (by hand) the mean number of people with type B blood in a random sample of 250 people. (Hint: What type of probability distribution can this be classified as?) Enter the mean below. E25 your answer here Blood Type, Part (d) Calculate (by hand) the standard deviation for the number of people with type B blood in a random sample of 250 people. Round your answer to two decimal places. 4.74our answer here Blood Type, Part (e) Another random sample of n = 250 people is taken and it is determined that 12 people have type B blood. Using the range rule of thumb, is this result significant? Show your work and explain your reasoning. (15.52, 34.48)
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