(05.04 MC) A city is interested in building a public health clinic in a certain area. Two hundred randomly selected residents from this area were asked, "Do you support the city's decision to build a public health clinic in your area?" Of the 200 residents interviewed, 108 said no, 8 said yes, and 84 had no opinion. A large-sample z-confidence interval, p± z * square root of p hat times 1 minus p over n, was constructed from these data to estimate the proportion of the residents who support building a public health clinic in a certain area. Which of the following statements is correct for this confidence interval?
This confidence interval is valid because a sample size of more than 30 was used.
This confidence interval is valid because each area resident was asked the same question.
The confidence interval is valid because no conditions are required for constructing a large-sample confidence interval for a proportion.
This confidence interval is not valid because the quantity npp is too small.
This confidence interval is not valid because "no opinion" was included as a response category for the question.