Problem 2) A study investigated ways to prevent staph infections in surgery pati

Question

Problem 2) A study investigated ways to prevent staph infections in surgery patients. In a first step, the researchers examined the nasal secretions of a random sample of 8771 patients admitted to various hospitals for surgery. They found that 1133 of these patients tested positive for Staphylococcus aureus, a bacterium responsible for most staph infections.

a) What is the population?

b) In words (not a number), explain what is in the context of the problem (not a general definition)

c) What is the numerical value of p?

Explanation / Answer

Here

n= number of patients admitted to various hospitals for surgery= 8771

X= number of patients tested positive for staphylococcus aureus= 1133

(A)

here we have population of a study investigated to perform the infections in surgery patients.

(B)

p= population proportion

that is what proportion of given population different ways of staph infections in surgery of patients.

this represents the population proportion.

(C)

Now we want to find

Phat= sample proportion= X/n

= 1133 / 8771

phat = 0.1292

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