What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?

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5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers
were banned from carrying on board any luggage, including purses, computers, and
briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The
proportion of the sample who think that airplanes would be safer if passengers were
banned from carrying on board any luggage, including purses, computers, and
briefcases, will vary if we take many samples from this same population. The sampling
distribution of the sample proportion is approximately Normal with mean 0.68 and
standard deviation about 0.015. Sketch this Normal curve and use it to answer the
following question. Round to nearest tenth percent.
What is the probability of getting a sample in which more than 70% think that airplanes
would be safer if passengers were banned from carrying on board any luggage, including
purses, computers, and briefcases?
Transcribed Image Text:5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?
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