A company that develops over-the-counter medicines is working ona new product that is meant to shorten the length of sore throats.To test their product for effectiveness, they take a random sampleof 100 people and record how long it took for their symptoms tocompletely disappear. The results are in the tablebelow.  The company knows that on average (withoutmedication) it takes a sore throat 6 days or less to heal 42% ofthe time, 7-9 days 31% of the time, 10-12 days 16% of the time, and13 days or more 11% of the time. Can it be concluded at the 0.01level of significance that the patients who took the medicinehealed at a different rate than these percentages?
Hypotheses:
H0: There is no difference/a difference in durationof sore throat for those that took the medicine.
H1: There is no difference/a difference in durationof sore throat for those that took the medicine.
Enter the expected count for each category in the tablebelow.
| 6 days or less | 7-9 days | 10-12 days | 13 or more days |
Duration of Sore Throat | 47 | 38 | 10 | 5 |
Expected Counts | | | | |
After running a Goodness of Fit test, can it be concluded thatthere is a statistically significant difference in duration of sorethroat for those that took the medicine?
Yes/No
