A pollster obtained an estimated mean of 34% from a randomly selected sample of 1,500. If there is a margin of error of 2% at a confidence level of 95%, which of the following is not a valid statement?
If polls of sample size 1,500 were repeatedly conducted, 95% of those polls would obtain an estimated mean within the interval from 32% to 36%.
The confidence interval of 32% - 36% will vary with every random sample conducted for the same population.
If polls of sample size 1,500 were repeatedly conducted and confidence intervals formed, we would expect 95% of the time that the true mean would lie within those intervals.
We are 95% confident that the true mean lies within \(\pm2\%\) of the estimated mean.
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