Question

In: Statistics and Probability

Problems 12 through 14 refer to the following research study: Researchers conducted a medical study to...

Problems 12 through 14 refer to the following research study:
Researchers conducted a medical study to find out if treating a sinus infection with an antibiotic reduced the length of the sinus infection. The study included 241 patients who were diagnosed with a sinus infection. There were 113 patients randomly assigned to receive the antibiotic. The remaining patients received sugar pills. The patients were contacted regularly to find out when each patient stopped having sinus infection symptoms. The results of the study are presented in the table below.
TREATMENT
Length of Sinus Infection
Sugar Pill
Antibiotic
Total
Less than 10 Days
80
80
160
10 or More Days
48
33
81
Total
128
113
241
Which treatment, the sugar pill or the antibiotic, resulted in the higher chance of having the length of sinus infection be less than 10 days

Question 12 options:

There isn't sufficient information to draw a valid conclusion because the sample size is too small.


Antibiotic


Sugar pill


Both showed the same reduction in length of sinus infection.

Question 13 (4 points)
What is the probability that a randomly selected patient was one who had received the antibiotic and also the sinus infection lasted more than 10 days?

Question 13 options:

33/81 = 0.407


33/113 = 0.292


33/241 = 0.137


48/81 = 0.593

Question 14 (4 points)
What is the probability someone in the study had a sinus infection that lasted more than 10 days?

Question 14 options:

81/128 = 0.623


160/241 = 0.664


81/113 = 0.717


81/241 = 0.336

Solutions

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