Question

The following data lists the number of correct and wrong dosage amounts calculated by 25 physicians. In a research experiment, a group of 13 physicians was given bottles of epinephrine labeled with a concentration of "1 milligram in 1 milliliter solution," and another group of 12 physicians was given bottles labeled with a ratio of "1 milliliter of a 1:1000 solution." Complete parts (a) through (c) below. Correct Dosage Calculation Wrong Dosage Calculation 2 Concentration Label ("1 milligram in 1 milliliter solution") Ratio Label ("1 milliliter of a 1:1000 solution") 10 3 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.)

Answer 1

The data in tabular form:

	Correct dosage calculation	Wrong dosage calculation	Total
Concentration Label	10	3	13
Ratio Label	2	10	12
Total	12	13	25

a.

P(Correct dosage calculation / concentration label)

= P( correct dosage calculation and concentration label) / P(concentration label)

$= \frac{\frac{10}{25}}{\frac{13}{25}}$

10 18 = 0.769

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