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Suppose that 72% of all adults think that the overall safety of airline travel is either...

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Basic Math

Suppose that 72% of all adults think that the overall safety ofairline travel is either good or excellent. An opinion poll plansto ask an SRS of 1097 adults about airplane safety. The proportionof the sample who think that the overall safety of airline travelis either good or excellent will vary if we take many samples fromthis same population. The sampling distribution of the sampleproportion is approximately Normal with mean 0.72 and standarddeviation about 0.012. Sketch this Normal curve and use it toanswer the following questions. (Round your answers to threedecimal places.)

(a)What is the probability that the poll gets a sample in whichmore than 74.4% of the people think that the overall safety ofairline travel is either good or excellent?

(b)What is the probability of getting a sample that misses thetruth (72%) by 2.4% or more?

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