A simple random sample of medical records resulted in a sample of 6716 patients

Question

A simple random sample of medical records resulted in a sample of 6716 patients who suffered cardiac arrest while hospitalized. Each observation was examined and classified by the size of the hospital (Small, Medium, Large) and whether or not defibrillation occurred within 2 minutes. Time to Defibrillation Hospital Size Small ( 2 Minutes 576 886 565 (1) Using the above data table, find and report the following probabilities: () The probability that one randomly selected hospitalized patient who suffers cardiac arrest receives defibrillation within 2 minutes given they are at a large hospital, .e. P(S 2 Min | I) (ii) The probability that one randomly selected hospitalized patient who suffers cardiac arrest receives defibrillation within 2 minutes given they are not at a large hospital (they are at a small or medium hospital, e. P(S 2 Min IS or M). (2) Using StatCrunch and the available data, construct a 90% Confidence Interval for the proportion of hospitalized patients who suffer cardiac arrest and receive defibrillation within 2 minutes at large hospitals. Lt P(s 2 MinII)-P, (i) Report the confidence interval using proper notation. (i) In one to two complete sentences, state a conclusion from this confidence interval. (3) Using SatCrunch and the available data, construct a 90% Confidence Interval for the proportion of hospitalized patients who suffer cardiac arrest and receive defibrlation within 2 minutes at small or medium hospitals. Let P(S 2 MinlS or M) sM (C) Report the confidence interval using proper notation. In one to two complete sentences, state a conclusion from this confidence interval. (4) One research question that could be posed using the available data: "Is there an advantage to being at a larger hospital for patients suffering cardiac arrest?" Determine a method that would be appropriate for answering this research question. Using StatCrunch and the available data, perform the statistical procedure deemed appropriate. In one to two paragraphs explain: () what method was used to answer the research question, (i the reasoning for using that particular method, and (ii) the relevant findings interpreting them in the context of the research question.

Explanation / Answer

We have total 6716 patients.

Prob(X) = Favourable outcome / total outcomes

1(i) P(Less than 2 mins at large hospital) = 1387 / 6716

ii) P(<=2min/ S or M) = (1124+ 2178 ) / 6716

= 3302 / 6716

Please post each question separately

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