The Gallup organization conducted a survey with a random sample of 1,019 adult Americans in 2010. They found that 80% of the respondents agreed with the statement that the United States has a unique character that makes it the greatest country in the world. 1. Identify the population and sample in this survey Population: Sample
2. Is it reasonable to believe that the sample of 1,019 adult Americans is representative of the larger population? Explnin why or why not. o ent
3. Explain why 80% is a statistic and not a parameter, what symbol would you use to format represent it? Windo Mac.
4. Identify (in words) the parameter that the Gallup organization was interested in estimating.
5. Is it reasonable to conclude that exactly 80% of all adult Americans agree with the state. ment about American exceptionalism? Explain why or why not.
6. Although we expect x to be close to 0.80, we realize there may be other plausible values for the population proportion as well First consider the value of 0.775. Is this a plausible value for π? Use the One Proportion applet to simulate random samples of 1,019 people from such a population. (Hint: Keep in mind that 0.775 is what we are assuming for the population proportion and 0.80 is the observed sample proportion.) What do you esti- mate for the two-sided p-value? Would you reject or fail to reject the null hypothesis at the 5% level of significance?
7. Also check the Summary Stats box and report the mean and standard deviation of this null distribution.