An airline claims that 72% of all its flights to a certain region
arrive on time. In a random sample of 30 recent arrivals. 19 were
on time. You may assume that the normal distribution applies.
a. Compute the sample proportion.
b. Assuming the airline's claim is true, find the probability of a
sample of size 30 producing a sample proportion so low as
was observed in this sample.

Question

07-10-2022
Mathematics

Answered

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An airline claims that 72% of all its flights to a certain region
arrive on time. In a random sample of 30 recent arrivals. 19 were
on time. You may assume that the normal distribution applies.
a. Compute the sample proportion.
b. Assuming the airline's claim is true, find the probability of a
sample of size 30 producing a sample proportion so low as
was observed in this sample.

Sagot :

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