**Suppose a survey is conducted using a random sample to determine whether voters in a**

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Suppose a survey is conducted using a random sample to determine whether voters in a city are in favour of some project. A sample with n =100 observations is obtained, and the proportion found to be in favour of the motion is 60%.

i) Construct a 95% confidence interval for the proportion among the entire population that supports the project.

ii) How likely is a sample proportion of more than 50% if the true population proportion is only 40%?

**Category:**Mathematics, General Mathematics

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