A study prospectively examined whether sleep-disordered breathing was associated

Question

A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 6294 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the two-way table below none mild moderate se 476 severe Total 89 255 344 320 Death No Death 29531 Total 165 1477562 3429 1797727 1050 5247 6297 Do the study findings give evidence of a significant relationship between the extent of sleep-disordered breathing and death? (a) What is the appropriate test to address this question? chi-square test of independence ·t-test for linear regression 2-proportion z test one-way ANOVA F test Under the null hypothesis of no relationship (b) the expected cell count that from the severe sleep-discorered breathing and death cell is (round to 2 decimal places) (c) the contribution to the test statistic that comes from the severe sleep-disordered breathing and death cell is (round to 2 decimal places)

Explanation / Answer

a) option chi square test of independence

b) expected cell count from the severe sleep discovered breathing and death cell E=row total*column total/grand total

=(1050*344)/6297=57.36

c) contribution to test statistic =(O-E)2/E =(89-57.36)2/57.36 =17.45

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