For each of the following six cases, explain (i) the hypotheses with a plausible

Question

For each of the following six cases, explain (i) the hypotheses with a plausible definition of p or µ, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (iii) whether or not the data indicate statistical significance. 1. In a large county in Louisiana, 26% of registered voters are Black. Black leaders in the county are concerned that these numbers are not reflected adequately in the jury selection process used in the county. As evidence, they point out that last week only 18% of those selected for jury duty in the county were Black. The corresponding p-value for the Z-test was 0.12.

Explanation / Answer

the hypotheses with a plausible definition of p or µ,

Ho : p = 0.26

H1 : p is different from 0.26

(ii) whether or not the data indicate practical significance (use common sense and/or general knowledge),

Z = 0.12

and (iii) whether or not the data indicate statistical significance

for critical value = 1.96

we fail to reject Ho

that means that this is not statistical significance

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