A political action committee wanted to estimate the proportion of county residents who support the installation of red-light cameras throughout the county. They took a random sample of 800 county residents and found that the proportion who wanted to install these cameras was 25
Which of the following statements is true based on this information?
1) There is a 95% confidence interval that captures the true proportion of county residents who want the law changed.
2) We believe that the true proportion of county residents who want the law changed is between 21% and 29%.
3) We are 95% confident that the true proportion of county residents who want the law changed is between 21% and 29%.
4) If we took another sample of 800 residents, the sample proportion would definitely be between 21% and 29%.
5) If we take many other samples of 800 residents from this population, 95% of them will produce confidence intervals that capture the true proportion.
6) If we take 1000 other samples of 800 residents from this population, about 950 of them will produce confidence intervals that capture the true proportion.
7) We cannot conclude anything about the population parameter since this is only a sample.