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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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poohbazy poohbazy
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4 years ago
A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals .85. The probability that the sample proportion will be between .9115 and .946 is _____.
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Educator
4 years ago
Hi poohbazy

The Answer: 0.0819 is correct.

mean = 0.85
std. error = sqrt[pq/n] = sqrt [(.85)(0.15) / 51] = 0.05

P(0.9115 < X < 0.946) = P[ (0.9115 - 0.85) / 0.05 < z < (0.946 - 0.85) / 0.05 ]

= P(1.23 < z < 1.92)

= P(z < 1.92) - P(z < 1.23) = 0.0819

Hope that helped
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