Answer to Question #251398 in Statistics and Probability for Carrie

Question

The park officials of Kruger Park believe that 50% of the buffaloes in the southern part have tuber-

culosis. The characteristic being studied is the occurrence of tuberculosis. A random sample of

100 buffalo is obtained from the southern part of the Kruger Park for which 65 are tested positively

for tuberculosis.

(a) Do the data indicate that the proportion of buffalo in the southern part that have tuberculosis

is greater than assumed? Perform a proper hypothesis test and test at the 5% significance

level. Clearly show how you draw a conclusion when you test this hypothesis, using both

methods, i.e.

(i) critical value approach, and (10)

(ii) p-value approach. (3)

(b) Assume that for practical importance the park officials would be concerned if the occurrence

of tuberculosis is more than an additional 10% of the existing proportion. What practical

conclusion might they draw from the results?

[Hint: Compute a 95% lower one-sided confidence bound. (7)

Answer 1

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