In a recent court case it was found that during a period of 11 years 888 people
ID: 3182274 • Letter: I
Question
In a recent court case it was found that during a period of 11 years
888
people were selected for grand jury duty and
37
%
of them were from the same ethnicity. Among the people eligible for grand jury duty,
79
%
were of this ethnicity. Use a
0.05
significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Which of the following is the hypothesis test to be conducted?
A.
Upper H 0 : p equals 0.79
Upper H 1 : p not equals 0.79
B.
Upper H 0 : p greater than 0.79
Upper H 1 : p equals 0.79
C.
Upper H 0 : p equals 0.79
Upper H 1 : p less than 0.79
D.
Upper H 0 : p not equals 0.79
Upper H 1 : p equals 0.79
E.
Upper H 0 : p equals 0.79
Upper H 1 : p greater than 0.79
F.
Upper H 0 : p less than 0.79
Upper H 1 : p equals 0.79
Explanation / Answer
We need to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Hence, we are here testing the claim that p should be less than 0.79.
Therefore,
Upper H 0 : p equals 0.79
Upper H 1 : p less than 0.79
Option C is correct.
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