then scan or print to a PDF file and upload it here. Your solutions must show all related work. In a survey conducted by the Pew Research Center in the United States from September 7 to 12 in 2021, 85% of 1,008 respondents said that the relations between the United States and Germany were good. a) {4 pts) Letp denote the population proportion of Americans who thought that the relations between the United States and Germany were good. State the null and alternative hypotheses of a two-sided significance test comparing p with 80%. b) (6 pts) Calculate the test statistic and find the p-value. c) {6 pts) What conclusion can you make for this test, using the significance level a = 0.01? Explain. cl) (5 pts) Check whether the sample size was large enough to make the inference in part 0. Indicate the other assumption you would need to make. e) (6 pts) Construct a 99% confidence interval for the population proportion p