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Solve the Problem E=zα/2p^q^nNnN1E = z _ { \alpha } / 2 \sqrt { \frac { \hat { p }\hat { q } } { n } } \sqrt { \frac { N - n } { N - 1 } }

question 73

Multiple Choice

Solve the problem.
-Suppose we wish to construct a confidence interval for a population proportion p. If we sample without replacement from a relatively small population of size N, the margin of error E is modified to include the finite population correction factor as follows: E=zα/2p^q^nNnN1E = z _ { \alpha } / 2 \sqrt { \frac { \hat { p }\hat { q } } { n } } \sqrt { \frac { N - n } { N - 1 } } Construct a 90% confidence interval for the proportion of students at a school who are left handed. The number of students at the school is N = 400. In a random sample of 82 students, selected without replacement, there are 11 left handers.

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