Between September 25 and 28 of 2014, the Pew Research Center asked 101 randomly selected Americans the following question: On which of these activities does the US government currently spend the most money? Is it Social Security, transportation, foreign aid, or interest on the national debt? 20 people said Social Security (the correct answer), while 4 said transportation, 33 said foreign aid, and 26 said interest. 18 said they don’t know or refused to answer. Remember for a Bernoulli variable the population mean is p and the population variance is p(1 − p). • (4 points) What proportion of the sample responded that the government spends more on foreign aid than the other activities? • (5 points) Build a 90% confidence interval around this estimate. Now build a 99% confidence interval. Interpret and explain the difference between them. • (5 points) Using a two-sided test with a 10 percent significance level, can you reject the null hypothesis that the true proportion is .45? What is the p-value for that test? • (5 points) Is is possible that more than 34% of the sample believes the government spends more on foreign aid than Social Security? Why or why not?

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights