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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