A sample of 3,014 steelworkers was selected to find out if they will go on strike on Monday. 53.2% of those in the sample said they would go out on strike. Since the number sampled is large and those advocating a strike constitute over 50%, can we assume that the majority of all steelworkers favor a strike? (assume the sample is large enough and random and representative)
I would personally disagree with the above answer. The questions is stating that we ARE to assume that the sample is large enough, random and representative. The whole point of taking a sample is that if it is randomly selected and representative of the whole population, the results can be then potentially extrapolated to the entire population. In this particular case it would be helpful to know the confidence interval and margin of error to be completely sure that we could then extend these results to the population. I couldn't say for sure that we can assume that the majority of all steelworkers favor a strike, but this is only because I do not know the confidence interval and margin of error.
This website is useful for explaining some of these topics. http://www.edrm.net/projects/search/statistical-sampling/estimating