Answered: There are four blood types, and not all…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

There are four blood types, and not all are equally likely to be in blood banks. Records in a local blood bank show that, historically, 49% of donations are type O blood, 27% are type A blood, 20% are type B blood, and 4% are type AB blood. The blood bank takes a random sample of 40 donations from the past month, and finds that 25 were type O, 10 were type A, 4 were type B, and 1 was type AB.

The blood bank would like to determine if the distribution of blood types in the past month’s sample is significantly different from the historical distribution of blood types. What are the hypotheses the blood bank should use?

A. H₀: In this month, the distribution of blood types matches the historical distribution of blood types.
H_a: In this month, none of the blood type proportions match the corresponding historical proportions.

B. H₀: In this month, the distribution of blood types does not match the historical distribution of blood types.
H_a: In this month, at least one of the blood type proportions does not match the corresponding historical proportion.

C. H₀: In this month, the distribution of blood types matches the historical distribution of blood types.
H_a: In this month, at least one of the blood type proportions does not match the corresponding historical proportion.

D. H₀: In this month, the distribution of blood types matches the historical distribution of blood types.
H_a: In this month, all of the blood type proportions are different from the corresponding historical proportions.

E. H₀: In this month, the distribution of blood types does not match the historical distribution of blood types.
H_a: In this month, the distribution of blood types matches the historical distribution of blood types.

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