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Elodia [21]
2 years ago
8

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability th

at the sample proportion will be between 0.9115 and 0.946 is
a. 0.8633

b. 0.6900

c. 0.0819

d. 0.0345
Business
1 answer:
3241004551 [841]2 years ago
8 0

Answer:

c. 0.0819

Explanation:

The mean = 0.85

standard error of the proportion is:     sp = 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

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