Question

stratified random sampling question :

STAT 2606 A - Summer 2007C Get Homework Help With Chegs x+ 13507A $2019/ ment2-Summer 2019 1/3 Carleton Univers School of Mathematics and Stausuc Sampling Methodology: STAT 3507-Summer 2019 Assignment # 2 (Due Jun 12, 2019) 1. The American Council of Learned Societies (ACLS) used stratified random sample of selected ACLS societies in seven disciplines to study publication patterns and computer and library use among scholars who belong to one of the member organizations of the ACLS. The data are shown in the table below Data from ACLS Survey NumberValid Female Returns Members (%) Discipline MembershipMailed Literature Classics 915 633 658 855 667 833 9,100 636 451 481 611 493 1,950 5,500 10,850 2,100 5,500 9,000 27 18 19 6 History Linguistics Political Science 575 13 26 588 Sociology Total 3835 5.385 44,000 Ignore the nonresponse and suppose there are no duplicate memberships a. Estimate the percentage of women in the ACLS societies in the seven disciplines. Estimate the corresponding standard error b. Estimate the total number of female members in the ACLS societies. Estimate the corresponding standard error hp

Answer 1

a)

sample proportion=p=x/n=successes/total

Forex for Literature

p^=x/n=242/636=0.3805

	membership	sample(n)	Number of female members(x)	proportion=x/n
Literature		636	242	0.380503145
Classics		451	122	0.270509978
philosophy		481	87	0.180873181
history		611	116	0.1898527
linguistics		493	177	0.359026369
political science		575	78	0.135652174
sociology		588	150	0.255102041

sto h 1000 o.26 = 0.2y 65 b The estimated total vmbes f fande membe 23 CS L/Yoco Х o.ooA I =312 stð )