Independent random samples of
n1 = 600
and
n2 = 440
observations were selected from binomial populations 1 and 2, and
x1 = 334
and
x2 = 378
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
to
(b) What assumptions must you make for the confidence interval to
be valid? (Select all that apply.)
independent samples
random samples
nq̂ > 5 for samples from both populations
n1 + n2 > 1,000
np̂ > 5 for samples from both populations
symmetrical distributions for both populations
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