Question
In: Statistics and Probability
A government report gives a 99% confidence interval for the proportion of welfare recipients who have...
A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare benefits for more than 5 years to be 21% ± 4.95%. Which of the following intervals could not be a 95% confidence interval for the proportion of welfare recipients who have been receiving welfare benefits for more than 5 years?
Select one:
a. 21% ± 4.27%
b. 21% ± 4.98%
c. 21% ± 3.98%
d. 21% ± 4.8%
Solutions
Expert Solution
Answer: A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare benefits for more than 5 years to be 21% ± 4.95%. Which of the following intervals could not be a 95% confidence interval for the proportion of welfare recipients who have been receiving welfare benefits for more than 5 years?
Solution:
At 99% confidence interval the proportion is
21% ± 4.95%
Therefore, the 21% ± 4.98% intervals could not be a 95% confidence interval for the proportion of welfare recipients who have been receiving welfare benefits for more than 5 years.
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