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Vaccine for Malaria In order for a vaccine to be effective, it should reduce a p

ID: 3273473 • Letter: V

Question

Vaccine for Malaria In order for a vaccine to be effective, it should reduce a person's chance of acquiring a disease. Consider a hypothetical vaccine for malaria-a tropical disease that kills between 1.5 and 2.7 milion people every year.^20 Suppose the vaccine is tested with 500 volunteers in a village who are malaria free at the beginning of the trial. Two hundred of the volunteers will get the experimental vaccine and the rest will not be vaccinated. Suppose that the chance of contracting malaria is 10% for those who are not vaccinated. Construct a two-way table to show the results of the experiment if: (a) The vaccine has no effect. b) The vaccine cuts the risk of contracting malaria in half.

Explanation / Answer

   

(a) The vaccination has no effect:

                  Contacting malaria            Not contacting malaria          Total

Vaccinated                    100                                    100                    200

Not vaccinated               30                                   270                      300

Total                              130                                     370                  500

EXPLANATION: Total Vluntees = 500. Out of this, 200 are vaccinated. Since vaccination has no effect, Contacting malaria = Not contactmalaria = 100. In Not vaccinated, 10% are contacting malaia. That number is therefore 30.

(b) The vaccination cuts the risk of contacting malaria in half:

                  Contacting malaria            Not contacting malaria          Total

Vaccinated                    50                                    150                    200

Not vaccinated               30                                   270                      300

Total                              80                                     420                  500

EXPLANATION: Since vaccination cuts the risk of mlaria in half: For vaccinaed: Contacting malaria is reduced to 50.