Question

In: Statistics and Probability

A comparative historical sociologist examining British colonial records for the Gold Coast in Africa suspects that...

A comparative historical sociologist examining British colonial records for the Gold Coast in

Africa suspects that mortality was higher among African miners than European miners. In

the year 1936, there were 223 deaths among 33,809 African miners and 7 deaths among

1,541 European miners on the Gold Coast. (The Gold Coast became the independent

country of Ghana in 1957.) Consider data from the year 1936 as a random sample from the

colonial era. Did the proportion of African miners who died during the Colonial era differ

from the proportion of European miners who died?

  1. State hypotheses in sentences and notation.
  2. Calculate the pooled sample proportion.  
  3. Compute the Z test statistic.
  4. Estimate the p‐value that corresponds to the test statistic.
  5. State your conclusion in reference to the null hypothesis. (Use α = .05)
  6. Interpret your result in reference to the alternative hypothesis.

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A historian examining British colonial records for the Gold Coast in Africa suspects that the death...
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 223 deaths among 33,809 African miners and 7 deaths among 1541 European miners on the Gold Coast. Calculate an appropriate 99% confidence interval for the difference between the proportion of African miners who died and the proportion of European miners who died. What is the lower bound of...
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