Question

10. the following data lists the number of correct and wrong dosage amounts calculated by 31 physicians. In a research​ experiment, a group of 16 physicians was given bottles of epinephrine labeled with a concentration of​ "1 milligram in 1 milliliter​ solution," and another group of 15 physicians was given bottles labeled with a ratio of​ "1 milliliter of a​ 1:1000 solution." Complete parts​ (a) through​ (c) below.

a. For the physicians given the bottles labeled with a​ concentration, find the percentage of correct dosage​ calculations, and then express it as a probability.

The probability of a correct dosage calculation given the bottle is labeled with a concentration is_____

​(Round to three decimal places as​ needed.)

B. For the physicians given the bottles labeled with a ratio, find the percentage of wrong dosage calculations; then express it as a probability.

C. Does it appear that either group did worse? What does the result suggest about drug labels?

11. The table below summarizes results from a study of people who refused to answer survey questions. A pharmaceutical company is interested in opinions of the elderly. What is the probability that the selected subject is someone 60 and over who​ responded?

Age   Responded   Refused
18-21   72   14
22-29   254   23
30-39   244   36
40-49   135   29
50-59   137   38
60_and_over   201   60

The probability that the selected subject is someone 60 and over who responded is_____

​(Round to three decimal places as​ needed.)

Answer 1

10)

Total number of physicians = 31

Number of physicians with bottles labeled with concentration with correct dosage = 16

and Number of physicians with bottles labeled with ratio with wrong dosage = 15

(a) Probability with correct dosage with concentration labeled is

Therefore, the probability of a correct dosage calculation given the bottle is labeled with a concentration is 0.516

(b) Probability with wrong dosage with ratio labeled is

Therefore, the probability of a wrong dosage calculation given the bottle is labeled with a ratio is 0.484

(c) Yes, the probability for wrong is less as compare to correct. The labels matter, since there is more chance of concentration label as compare to ratio.

11)

Total number of subjects = 72 + 254 + 244 + 135 + 137 + 201 + 14 + 23 + 36 + 29 + 38 + 60 = 1243

Number of subjects is someone 60 or more responded = 60 or more as well as responded = 201

Number of subjects 60 or more and responded Total number of subjects P(Selected subject is someone 60 and over who responded)

Therefore, the probability that the selected subject is someone 60 and over who responded is 0.162