A drug company developed a honey-based liquid medicine designed to calm a child's 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 liquíd placebo (no dosage at all). After administering the medicine to their coughing child, parents rated their children's cough diagnosis as either better or worse. The results are shown in the table below: Diagnosis Treatment Be tter Worse Total Control 4 33 37 DM 12 21 33 Honey Total 24 11 35 40 65 105 In order to determine whether the treatment group is independent of the coughing diagnosis, a two-way chi-square test was conducted. 1. State the alternative and the null hypothesis. 2. Calculate test statistic 3. Determine the chi square critical value. 4. Write the decision rule 5. Decision 6. Conclusion

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A drug company developed a honey-based liquid medicine designed to calm a child's 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 children's cough diagnosis as either better or worse.
The results are shown in the table below:
Diagnosis
Treatment Better Worse Total
Control
4
33
37
DM
12
21
33
Honey
24
11
35
Total
40
65
105
In order to determine whether the treatment group is independent of the coughing diagnosis, a two-way chi-square test was conducted.
1. State the alternative and the null hypothesis.
2. Calculate test statistic
3. Determine the chi square critical value.
4.Write the decision rule
5. Decision
6. Conclusion
Transcribed Image Text:A drug company developed a honey-based liquid medicine designed to calm a child's 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 children's cough diagnosis as either better or worse. The results are shown in the table below: Diagnosis Treatment Better Worse Total Control 4 33 37 DM 12 21 33 Honey 24 11 35 Total 40 65 105 In order to determine whether the treatment group is independent of the coughing diagnosis, a two-way chi-square test was conducted. 1. State the alternative and the null hypothesis. 2. Calculate test statistic 3. Determine the chi square critical value. 4.Write the decision rule 5. Decision 6. Conclusion
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