In a survey conducted by the Pew Reasearch Center in the U.S. from September 7 to 12 in 2021, 85% of 1,008 respondents said that the relations between the U.S. and Germany were good. 1) Let p denote the population proportion of Americans who thought that the relations between the U.S. and Germany were good. State the null and alternative hypothesis of a two-sided significance test comparing p with 80%. 2) Calculate the test statistics and find the p-value. 3) What conclusion can you make for this test, using the significance level α(alfa)=0.01?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a survey conducted by the Pew Reasearch Center in the U.S. from September 7 to 12 in 2021, 85% of 1,008 respondents said that the relations between the U.S. and Germany were good. 1) Let p denote the population proportion of Americans who thought that the relations between the U.S. and Germany were good. State the null and alternative hypothesis of a two-sided significance test comparing p with 80%. 2) Calculate the test statistics and find the p-value. 3) What conclusion can you make for this test, using the significance level α(alfa)=0.01?
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