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Mars migration ~ Living on Mars would be a dream come true for many Americans after...

Mars migration ~ Living on Mars would be a dream come true for many Americans after popular movies such as Total Recall, The Martian, and John Carter, which are based on Mars. To gauge public interest, a nationwide survey was conducted by SpaceX on whether people would like to live on Mars.

Using this data, Douglas calculated a 90% confidence interval for the actual proportion of Americans who would like to live on Mars to be (0.8155, 0.8555).

Which of the following statements is the most appropriate?

Question 3 options:

We are 90% confident, based on the sample data, that the actual proportion of Americans who would like to live on Mars is contained in the range of plausible values stated above.

There is a 90% chance that the interval stated above contains the actual proportion of Americans who would like to live on Mars.

We are 90% confident, based on the sample data, that the actual proportion of Americans would like to live on Mars.

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Answer #1

Solution,

Given that,

The confidence interval = (0.8155, 0.8555).

correct option is,

We are 90% confident, based on the sample data, that the actual proportion of Americans who would like to live on Mars is contained in the range of plausible values stated above.

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