# Math

The 112th Congress of the United States of America has 535 members, of which 87 are women. An alien lands near the US Capital and treats members of Congress as a random sample of the human race. He reports to his superiors the 95% confidence interval for the proportion of the human race that is female.

A) Calculate the confidence interval that the alien reports?

***Is it 13% to 19%????

B) What is wrong with the alien's approach to estimating the proportion of the human race that is female?

***It is not a randomized sample (although appears to be). Congress does not accurately reflect the overall population of women as Congress does not have many female members for one, and the sample does not include women from around the world.

Am I right? Thanks!

1. 👍 0
2. 👎 1
3. 👁 286
1. The alien's report:

The population of Earth is adequately large, we assume this is an SRS, and with p-hat being approximately .16, n*p-hat and n*(1 - p-hat) are both greater than 10. Therefore we can use the normal curve.

We will use the confidence interval LaTeX: p-hat\:\pm z^{\cdot}\sqrt{\frac{p-hat\left(1-p-hat\right)}{n}} p − h a t ± z ⋅ p − h a t ( 1 − p − h a t ) n where p-hat = .1626, n = 535, and LaTeX: z^{\cdot} z ⋅ is 1.96.

Our interval, then, is (.1314, .1939).

We are 95% confident that the true proportion of Earth people who are women lies between 13% and 19%.

1. 👍 0
2. 👎 1
posted by N

## Similar Questions

1. ### Social Studies

How do Spanish South America’s governments compare with that of the United States? A. They have presidential systems, unlike the United States. B. They are mostly democracies like the United States. C. They have parliamentary

asked by dori on December 17, 2018
2. ### ss

How do Spanish South America’s governments compare with that of the United States? A. They have presidential systems, unlike the United States. B. They are mostly democracies like the United States. C. They have parliamentary

asked by tim on November 28, 2018
3. ### history

n President James Monroe's annual address to Congress in 1823, he outlined his foreign policy. This policy has become known as the Monroe Doctrine. What was the main point of the Monroe Doctrine? A. The United States would prevent

asked by Anonymous on February 11, 2016
4. ### History

"The time for the new election of a citizen to be president of the United States is coming soon. I should now tell you of my decision: I will not be among the candidates considered for the position." Read the paraphrase of a text

asked by Laney on November 6, 2016
5. ### Soc. Studies

What was the outcome of the Alliance for Progress? A.Americans opposed Kennedy’s policies. B.Relations between the United States and Latin America improved. C.Relations between the United States and Latin America did not

asked by Cassie on March 4, 2013
6. ### government

"The united states in congress assembled shall never engage in war...nor coin money,nor regulate the value thereof, nor [spend] the sums and expenses necessary for the defense and welfare of the united states...nor borrow money on

asked by kayla on May 15, 2008
7. ### social studies

How did U.S. participation in World War I impact U.S. foreign policy in the decade immediately after the war? A) The United States joined the League of Nations. B) The United States strengthened its alliances in Latin America. C)

asked by Asher on February 6, 2011
8. ### Social Studies

-Which of the following excerpts from Article I of the Constitution reflects the results of the Great Compromise? A)"Representatives and direct Taxes shall be apportioned among the several States which may be included within this

asked by Ella :) on October 20, 2017
9. ### Soc. Studies - Help please

2nd time asking this question - need further clarification - please What was the outcome of the Alliance for Progress? A.Americans opposed Kennedy’s policies. B.Relations between the United States and Latin America improved.

asked by cassie on March 5, 2013
10. ### English III

The Emancipation Proclamation, excerpt BY THE PRESIDENT OF THE UNITED STATES OF AMERICA. A PROCLAMATION. I, ABRAHAM LINCOLN, President of the United States of America, and Commander-in-Chief of the Army and Navy thereof, do hereby

asked by Halo4Records on May 24, 2014

More Similar Questions