In the article “Liberal or Conservative Oxygen Therapy for Acute Respiratory Distress Syndrome” published in the New England Journal of Medicine (Barrot, 2020), the authors reported the summary statistics in Table 7.26 for the results at day 28 of the study. Use this information to answer the following questions.

(a) estimate the proportion in the conservative-oxygen group (????????????) who would die.

(b) estimate the proportion in the liberal-oxygen group (????????????)who would die.

(c) test ????0 ∶ ???????????? = ???????????? at the ???? = 0.05 level.

(d) compute a 95% confidence interval for ???????????? − ????????????.

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Treatment n Conservative-Oxygen Liberal-Oxygen 99 No. Died 34 102 27