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2 answers:
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Solution :
= 178 x 0.48
= 85.44
≈ 85
= 427 x 0.38
= 162.26
≈ 162
a). Yes, the sample sizes are large enough to use the large sample confidence interval so as to estimate the difference in the population proportions.
Let
Where the the age
group and the 2 - subscript indicates the age
group.
Since
are all at least 10, the sample sizes are large enough to use the large sample confidence interval.
= 0.409421
= 1 - 0.4094
= 0.5906
b). 90% confidence interval is
c). Zero is not included in the confidence interval. Answer is no. The difference in the two population proportion are different from each other.