A company that develops over-the-counter medicines is working on a new product that is meant to shorten the length of sore throats. To test their product for effectiveness, they take a random sample of 110 people and record how long it took for their symptoms to completely disappear. The results are in the table below. The company knows that on average (without medication) it takes a sore throat 6 days or less to heal 42% of the time, 7-9 days 31% of the time, 10-12 days 16% of the time, and 13 days or more 11% of the time. Can it be concluded at the 0.01 level of significance that the patients who took the medicine healed at a different rate than these percentages?

Hypotheses:

H₀: There is __________in duration of a sore throat for those that took the medicine.

H₁: There is __________in duration of a sore throat for those that took the medicine.

Select the best fit choices that fit in the two blank spaces above.

Question 7 options:

no difference, a difference

a difference, no difference

no difference, no difference

a difference, a difference