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 of137patients.Do the data provide sufficient evidence to indicate that injections of antibodies affect the likelihood of transfusion-transmitted infections? Test by using= 0.05.

Infection No Infection

Antibody 2 79

No Antibody 10 46

State the null and alternative hypotheses.

H₀: Antibody and infection classifications are independent.

H_a: Antibody and infection classifications are dependent.

H₀: Antibody and infection classifications are independent.

H_a: Antibody and infection classifications are linearly related.

H₀: Antibody and infection classifications are dependent.

H_a: Antibody and infection classifications are independent.

H₀: Antibody and infection classifications are linearly related.

H_a: Antibody and infection classifications are independent.

H₀: The numbers of patients with and without infections are equal.

H_a: The numbers of patients with and without infections are not equal.

Find the test statistic. (Round your answer to two decimal places.)

²=_______

Find the rejection region. (Round your answer to two decimal places.)

²>_________