Two Sample Population Proportion Significance Tests:

Question

A historian examining British Colonial records for the Gold Coast in Africa suspects
that the death rate was higher among African miners than among European miners.
in the year 1936, there were 341 deaths among 34282 African miners and 12 deaths
among 1635 European miners in the Gold Coast. Consider this year as a sample
from the prewar era in Africa.

a) State the null and alternative hypotheses.

b) Calculate a test statistic.

c) Give a P-value as exact as the tables in the text allow.

d) Is there good evidence that the proportion of African miners who died during a year
was higher than the proportion of European miners who died?