4.2 Percentages and odds

In a study of how well emergency dispatchers recognised signs of stroke (Oostema et al. 2018), the data shown below were collected.

Sex of patients Dispatcher suspected stroke Dispatcher missed stroke
Male 67 43
Female 97 39
  1. What proportion of patients had their stroke symptoms missed?
  2. Sketch a side-by-side or stacked bar chart to display the data.
  3. Of the male patients, what proportion had their stroke symptoms missed by the dispatcher?
  4. Of the female patients, what proportion had their stroke symptoms missed by the dispatcher?
  5. For the male patients, what are the odds that they had their stroke symptoms missed by the dispatcher?
  6. For the female patients, what are the odds that they had their stroke symptoms missed by the dispatcher?
  7. What is the difference between the proportions of stroke symptoms being missed by the dispatcher, comparing males to females?
  8. What is the odds ratio that a patients had their stroke symptoms missed by the dispatcher, comparing males to females?
  9. Construct a numerical summary table (see Table 4.1).
TABLE 4.1: Summary table: emergency dispatchers and missing stroke symptoms. Enter PROPORTIONS and ODDS to TWO decimal places.
Proportion
Odds
Sample
symptoms missed symptoms missed size
Males
Females
Difference: Odds ratio:

References

Oostema JA, Chassee T, Reeves M. Emergency dispatcher stroke recognition: Associations with downstream care. Prehospital Emergency Care. 2018;22(4):466–71.