Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as those in the general population. The distribution for the general population is as follows: type A, 24%; type B, 28%; type O, 36%; and type AB=12%. He selects a random sample of 50 patients and finds the following: 14 have type A blood, 10 have type B, 23 have type O, and 3 have type AB blood. At α=0.01, can it be concluded that the distribution is the same as that of the general population? Use the critical value method with tables.   H0: The blood type distribution is the same as the distribution of the general population. Claim or not? H1: The blood type distribution differs from the distribution of the general population: Claim or not? Find the critical value Compute the test value: X^2= Reject or Do not reject the null hypothesis Summarize: Is there or is there not enough evidence to reject the claim? Is there or is there not enough evidence to support the claim?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.4: Expected Value
Problem 22E
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Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as those in the general population. The distribution for the general population is as follows: type A, 24%; type B, 28%; type O, 36%; and type AB=12%. He selects a random sample of 50 patients and finds the following: 14 have type A blood, 10 have type B, 23 have type O, and 3 have type AB blood.

At α=0.01, can it be concluded that the distribution is the same as that of the general population? Use the critical value method with tables.

 

  1. H0: The blood type distribution is the same as the distribution of the general population. Claim or not?
    H1: The blood type distribution differs from the distribution of the general population: Claim or not?

  2. Find the critical value

  3. Compute the test value: X^2=

  4. Reject or Do not reject the null hypothesis

  5. Summarize:
    Is there or is there not enough evidence to reject the claim?
    Is there or is there not enough evidence to support the claim?
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