According to a large national survey conducted by the Pew Research Center (“What Americans Think About NSA Surveillance, National Security and Privacy,” May 2, 2015, pewresearch.org, retrieved December 1, 2016), 54% of adult Americans disapprove of the National Security Agency collecting records of phone and Internet data. Suppose that this estimate was based on a random sample of 1000 adult Americans.

a. Is there convincing evidence that a majority of adult Americans feel this way? Test the relevant hypotheses using a 0.05 significance level.

b. The actual sample size was much larger than 1000. If you had used the actual sample size when doing the calculations for the test in Part (a), would the P-value have been larger than, the same as, or smaller than the P-value you obtained in Part (a)? Provide a justification for your answer.