At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample ofn₁=318patients with minor burns received the plasma compress treatment. Of these patients, it was found that266had no visible scars after treatment. Another random sample ofn₂=420patients with minor burns received no plasma compress treatment. For this group, it was found that97had no visible scars after treatment. Letp₁be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Letp₂be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars.

(a) Find a90%confidence interval forp₁p₂.(Round your answers to three decimal places.)

lower limit=

upper limit =

(b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all negative? both positive and negative? At the90%level of confidence, does treatment with plasma compresses seem to make a difference in the proportion of patients with visible scars from minor burns?

Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received the treatment.

Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of patients with no visible scars among those who received the treatment.

Because the interval contains only negative numbers, we can say that there is a higher proportion of patients with no visible scars among those who did not receive the treatment.

We can not make any conclusions using this confidence interval.