Question: Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and proportions of each
Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and proportions of each group answering
yes'' are given below:
Pop. 1:
Pop. 2:
n
1
=97,
n
2
=86,
p
1
=0.714
p
2
=0.684
Pop. 1
:n
1
=97,p
^
1
=0.714Pop. 2
:n
2
=86,p
^
2
=0.684
Suppose that the data yields (-0.0993, 0.1593) for a confidence interval for the differencep
1
p
2
p
1
p
2
of the population proportions. What is the confidence level? (Give your answer in terms of percentages.) Hint: The length of the confidence interval is twice the margin of error. From the margin of error formula, isolatez
z
in terms of E and SE. Now find the confidence level using the fact thatz
z
is the value that leaves/2
/
2
to its right in a standard normal. Your answer should be reported as (1-
) * 100, e.g., 95 (for 95% confidence level) or 99 (for 99% confidence level). DO NOT INCLUDE A % SIGN.
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