Google started selling Google Glass (a type of wearable technology that projects information onto the eye) in the United States in spring 2014 for $1500. A national poll reveals that out of 500 people sampled, nobody owned Google Glass.
a. Find the sample proportion who don’t own Google Glass and its standard error.
b. Find a 95% confidence interval, using the large-sample formula. Is it sensible to conclude that no one in the United States owns Google Glass?

c. Why is it not appropriate to use the ordinary large-sample confidence interval in part b? Use a more appropriate approach and interpret the result.
d. Is it plausible to say that fewer than 1% of the population own Google Glass? Explain.