A new drug is believed to help in the recovery of stroke patients. A clinical experiment was conducted to test the effects of the new drug against an existing drug. Researchers observed 3154 patients given the new drug and found some improvement of their symptoms in 865 of them. Of the 2016 patients given the existing drug, 509 reported improvement.

A 95% confidence interval was calculated for the difference in the improvement rates

(new drug - existing drug), and is given by [-0.003, 0.046].

Which of the following interpretations is most applicable?

Question 3 options:

We are 95% sure that between 0.3% and 4.6% more patients using the new drug showed improvement compared with those on the existing drug.

Between 0.3% and 4.6% of all the patients reported an improvement in their symptoms.

The improvement rate for patients given the new drug was significantly higher than the rate for patients given the existing drug.

The difference in improvement rates between the two drugs was not statistically significant.