Question

Asked May 11, 2019

Step 1

It is given that a particular ethnicity in the population is 40%. From that ethnicity, 80% of 851 people selected for grand jury duty.

**Null and alternative hypotheses:**

*Null hypothesis:*

H_{0}: *p _{0}* = 0.4

That is, the proportion of the ethnicity eligible in grand jury duty is 0.4.

*Alternative hypothesis:*

H_{1}: *p _{0}* > 0.4

That is, the proportion of the ethnicity eligible in grand jury duty is greater than 0.4.

Step 2

**Computation of test statistic value:**

Hypothesis test for a proportion is the appropriate test to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury.

Step 3

Where,

*p*-hat is the proportion of the ethnicity eligible for grand jury duty (sample),

*p*0 is the proportion of the ethnicity in population,

*s* is the standard deviation of the sampling distribution, and

*n *is the sample size

The t...

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