In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among thepeople eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based against allowing this ethnicityto sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addressesthe original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.What is the test statistic?(Round to two decimal places as needed.)
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In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based 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. What is the test statistic? (Round to two decimal places as needed.)
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:
H0: p0 = 0.4
That is, the proportion of the ethnicity eligible in grand jury duty is 0.4.
Alternative hypothesis:
H1: p0 > 0.4
That is, the proportion of the ethnicity eligible in grand jury duty is greater than 0.4.
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.
Where,
p-hat is the proportion of the ethnicity eligible for grand jury duty (sample),
p0 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...
Math
Statistics
Hypothesis Testing
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