Will the 2020 US Census ask you if you are a US citizen? This was one of the questions of interest in a Pew Internet & American Life Project Survey (January 2020). The answer is “no,” but in a representative sample of 3,535 US adults, 2,934 incorrectly answered “yes” to the question. Let p represent the true proportion of all US adults who incorrectly believe that the Census will ask about US citizenship.

a. Compute a point estimate of p.

b. Set up the null and alternative hypotheses for testing whether the true proportion of all US adults who incorrectly believe that the Census will ask about US citizenship exceeds .8.

c. Compute the test statistic for part b.

d. Find the rejection region for the test if α = .01.

e. Find the p-value for the test.

f. Make the appropriate conclusion using the rejection region.

g. Make the appropriate conclusion using the p-value.