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10.2 Sampling Distribution for Proportions
Example: Information on a packet of seeds claims that the
germination rate is 92%. Are conditions met to answer the
question, “What is the probability that more than 95% of the 160
seeds in the packet will germinate?”
Independence: It is reasonable to assume the seeds will
germinate independently from each other.
Randomization: The sample of seeds can be considered a
random sample from all seeds from this producer.
10% Condition: The packet is less than 10% of all seeds
manufactured.
Success/Failure Condition: np = (0.92×160) = 147.2 > 10;
nq = (0.05×160) = 12.8 > 10
Copyright © 2012 Pearson Education. All rights reserved.
10-15
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