Chapter 5.2, Problem 5.34E

To determine

To explain will we be surprised if a sample from this population gave $57\%$ and also will we be surprised if a sample gave $37\%$ .

Answer to Problem 5.34E

I would not be surprised if a sample from this population gave $57\%$ and I would be surprised if a sample gave $37\%$ .

Explanation of Solution

I would not be surprised if a sample from this population gave $57\%$ because the sampling was done enough times to reduce variability and produce a statistic very close to the population parameter. For this reason I would be surprised if a sample gave $37\%$ because this means that there was a lot of variability in the sample, which should not have occurred with a sample size this large and with so many samples.