Independent random samples of
n1 = 900 and n2 = 900
observations were selected from binomial populations 1 and 2, and
x1 = 120
and
x2 = 150
successes were observed.
(a)
What is the best point estimator for the difference
(p1 − p2)
in the two binomial proportions?
p̂1 − p̂2
n1 − n2
p1 − p2
x1 − x2
(b)
Calculate the approximate standard error for the statistic used in part (a). (Round your answer to three decimal places.)
(c)
What is the 95% margin of error for this point estimate? (Round your answer to three decimal places.)
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