1.You conducted a mail survey in the City of Pasadena regarding a proposal to start a...

1.You conducted a mail survey in the City of Pasadena regarding a proposal to start a ferry service to a nearby tourist destination. Your survey results revealed that only 25% of the population supports the project. If you had a confidence interval of 95% with a +/- 5% margin of error, this means you are 95% confident that if you were to survey the entire population in the City of Pasadena, those who would support the ferry service would be between 5% and 25%.

2. You conducted a mail survey in the City of Pasadena regarding a proposal to start a ferry service to a nearby tourist destination. Your survey results revealed that only 25% of the population supports the project. If you had a confidence interval of 95% with a +/- 5% margin of error, this means you are 95% confident that if you were to survey the entire population in the City of Pasadena, those who would support the ferry service would be between 5% and 25%.

Expert Solution

You conducted a mail survey in the City of Pasadena regarding a proposal to start a ferry service to a nearby tourist destination. Your survey results revealed that only 25% of the population supports the project. If you had a confidence interval of 95% with a +/- 5% margin of error, this means you are 95% confident that if you were to survey the entire population in the City of Pasadena, those who would support the ferry service would be between 5% and 25%.

This is the incorrect interpretation.

The confidence interval is always centred around the sample proportion and we can be 95% confident that the true population proportion will be in the confidence interval.

Coming to the question, if only 25% of the population supports the project, then it has to be centred towards 25% of the population. but the 95% confidence interval is between 5% and 25% which means it is not centred around the population proportion. That's why the intrepretation is incorrect.

orchestra answered 1 year ago

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