Infections sometimes occur when blood transfusions are given during surgical operations. An experiment was conducted to determine whether the injection of antibodies reduced the probability of infection, by examining the records of 136 patients. Do the data provide sufficient evidence to indicate that injections of antibodies affect the likelihood of transfusion-transmitted infections? Test by using a = 0.05. Antibody No Antibody Infection No Infection 5 10 77 44 State the null and alternative hypotheses. O Ho: Antibody and infection classifications are independent. H: Antibody and infection classifications are dependent. OH: Antibody and infection classifications are independent. H: Antibody and infection classifications are linearly related. OH: Antibody and infection classifications are linearly related. H: Antibody and infection classifications are independent. OH: Antibody and infection classifications are dependent. H: Antibody and infection classifications are independent. O Ho: The numbers of patients with and without infections are equal. H: The numbers of patients with and without infections are not equal. Find the test statistic. (Round your answer to two decimal places.) x² = Use the critical value approach to state the rejection region. (Round your answer to two decimal places.) X² > State your conclusion. O Ho is not rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. OH is rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. O Ho is not rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. Ho is rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Infections sometimes occur when blood transfusions are given during surgical operations. An experiment was conducted to determine whether the injection of
antibodies reduced the probability of infection, by examining the records of 136 patients. Do the data provide sufficient evidence to indicate that injections of
antibodies affect the likelihood of transfusion-transmitted infections? Test by using a = 0.05.
Antibody
No Antibody
Infection No Infection
5
10
77
44
State the null and alternative hypotheses.
O Ho: Antibody and infection classifications are independent.
H: Antibody and infection classifications are dependent.
OH: Antibody and infection classifications are independent.
H: Antibody and infection classifications are linearly related.
O Ho: Antibody and infection classifications are linearly related.
H: Antibody and infection classifications are independent.
OH: Antibody and infection classifications are dependent.
H: Antibody and infection classifications are independent.
O Ho: The numbers of patients with and without infections are equal.
H: The numbers of patients with and without infections are not equal.
Find the test statistic. (Round your answer to two decimal places.)
x² =
Use the critical value approach to state the rejection region. (Round your answer to two decimal places.)
X² >
State your conclusion.
O Ho is not rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.
O Ho is rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.
OH is not rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.
OH is rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.
Transcribed Image Text:Infections sometimes occur when blood transfusions are given during surgical operations. An experiment was conducted to determine whether the injection of antibodies reduced the probability of infection, by examining the records of 136 patients. Do the data provide sufficient evidence to indicate that injections of antibodies affect the likelihood of transfusion-transmitted infections? Test by using a = 0.05. Antibody No Antibody Infection No Infection 5 10 77 44 State the null and alternative hypotheses. O Ho: Antibody and infection classifications are independent. H: Antibody and infection classifications are dependent. OH: Antibody and infection classifications are independent. H: Antibody and infection classifications are linearly related. O Ho: Antibody and infection classifications are linearly related. H: Antibody and infection classifications are independent. OH: Antibody and infection classifications are dependent. H: Antibody and infection classifications are independent. O Ho: The numbers of patients with and without infections are equal. H: The numbers of patients with and without infections are not equal. Find the test statistic. (Round your answer to two decimal places.) x² = Use the critical value approach to state the rejection region. (Round your answer to two decimal places.) X² > State your conclusion. O Ho is not rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. O Ho is rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. OH is not rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. OH is rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.
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