City Officials Will Conduct a Study of the Proportion of Vehicle

Multiple Choice

City officials will conduct a study of the proportion of vehicle owners among the neighborhood residents. The study, which was held 5 years ago, provided the result of 50%. Suppose that a random sample of size n = 20 with the obtained proportion 0.45 is used to decide if the proportion has increased for the whole neighborhood. Calculate the P-value using the appropriate test to analyze these data. ​

A) A large-sample z test can be used. 0.04 < P-value < 0.06.
B) Both a randomization test for one proportion or a large-sample z test can be used. 0.04 < P-value < 0.06.
C) A large-sample z test, a randomization test for one proportion, or an exact binomial test for one proportion can be used. 0.06 < P-value < 0.08.
D) Both a randomization test for one proportion or an exact binomial test for one proportion can be used. 0.06 < P-value < 0.08.
E) Both a randomization test for one proportion or an exact binomial test for one proportion can be used. 0.09 < P-value < 0.1.