In January 2014 AP-GfK polled 1060 U.S. adults to find if people were more concerned with privacy or security. Privacy concerns outweighed concerns about being safe from terrorists for 646 out the 1060 polled. Of the 1060 adults about 180 are 65 and older whose concerns may be different from the rest of the population.
a) Do you expect the 95% confidence interval for the true proportion of those 65 and over who are more concerned with privacy to be wider or narrower than the 95% confidence interval for the true proportion of all U.S. consumers? Explain.
b) If 13% of the 1060 polled were 18-24 years old, would you expect the margin of error for this group to be larger or smaller than for the 65 and older group? Explain.