Question 1029927: During a period of 11 years 1908 of the people selected for grand jury duty were sampled, and 42% of them were immigrants. Use the sample data to construct a 99% confidence interval estimate of the proportion of grand jury members who were immigrants. Given that among the people eligible for jury duty, 43.5% of them were immigrants, does it appear that the jury selection process was somehow biased against immigrants?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! I will make it a 2 way test.
Ho: The true proportion is 0.435
Ha: The true proportion is not 0.435,
alpha=0.01
the confidence interval is from a 1-sample proportion test
z(0.995)*sqrt {(0.435)(0.565)/1908}; z=2.576; the standard error is 0.0113
z*SE=0.0292
99% CI=(0.391,0.449). The value of 0.42 is in the interval, so the null hypothesis is not rejected. There is insufficient evidence to support the claim that there was bias.
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