Alice knows that 70% of the creatures in Wonderland are anthropomorphic animals. She randomly invites several of Wonderland’s inhabitants to a tea party. Depending on which inhabitants of Wonderland are chosen, the proportion of animals invited may vary.
If Alice samples 120 inhabitants, what is the probability that more than 80% of the sampled inhabitants are animals? Give your answer to four decimal places.
Answer:
Given,
To determine the probability that more than 80% of sampled inhabitants are animals
p = 70% = 0.70
n = 120
p^ = 80% = 0.80
P(p^ > 0.80) = ?
let us consider,
P(z > (p^-p)/sqrt(pq/n) )
substitute the given values
= P(z > (0.80 - 0.70)/sqrt(0.70(1-0.70)/120) )
= P(z > 0.10/0.041833)
= P(z > 2.3905)
= 0.0084127
= 0.0084
So the probability that more than 80% of the sampled inhabitants are animals is 0.0084 .
Alice knows that 70% of the creatures in Wonderland are anthropomorphic animals. She randomly invites several...
Alice knows that 70% of the creatures in Wonderland are anthropomorphic animals. She randomly invites several of Wonderland’s inhabitants to a tea party. Depending on which inhabitants of Wonderland are chosen, the proportion of animals invited may vary. If Alice samples 60 inhabitants, what is the probability that more than 65% of the sampled inhabitants are animals? Give your answer to four decimal places. Answer:______________
Alice knows that 70% of the creatures in Wonderland are anthropomorphic animals. She randomly invites several of Wonderland's inhabitants to a tea party. Depending on which inhabitants of Wonderland are chosen, the proportion of animals invited may vary If Alice samples 120 inhabitants, what is the probability that more than 80% of the sampled inhabitants are animals? Give your answer to four decimal places. Answer: