A Drug Company Developed a Honey-Based Liquid Medicine Designed to Calm

Multiple Choice

A drug company developed a honey-based liquid medicine designed to calm a childʹs cough at night. To test the drug, 105 children who were ill with an upper respiratory tract infection were
Randomly selected to participate in a clinical trial. The children were randomly divided into three
Groups - one group was given a dosage of the honey drug, the second was given a dosage of
Liquid DM (an over-the-counter cough medicine) , and the third (control group) received a liquid
Placebo (no dosage at all) . After administering the medicine to their coughing child, parents rated
Their childrenʹs cough diagnosis as either better or worse. The results are shown in the table below:

In order to determine whether the treatment group is independent of the coughing diagnosis, a two-way chi-square test was conducted. Use the chi-square distribution to determine the rejection region for this test when testing at $\alpha = 0.025$ .

A) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 7.37776$
B) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 7.81473$
C) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 5.99147$
D) Reject $\mathrm { H } _ { 0 }$ if $\chi ^ { 2 } > 9.34840$