Question

Use a confidence interval to determine if the proportions are different. 2) A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single? Use a -0.01.

Answer 1

عقل سلعصئهتتعلمهمگر solution Given that sample sizecoda 100 selected sample cxpe 15e LElementary PLE PL= * = 15.2015 selected sample (X2)=36 10 High school - P2 = - 360-012 Sample proportion _DA - P = 0.2 -0.15= 0,05 091 - PRE 40:05 ICHOA Null bypothesis P2-REO I HQ Alternative hypothesis pe-Piza (Claim) 0.102 T test statistic z= Pi —P2 Al + ni na Where P = x14x2 - 15+36 = 5l = nitna loot 180 280 qalp= 0,818 2- 0,15- 0,20 2011'82X18121018280.818 100 180 - 1104 t-Al21 calculate D-value CamShevalle Reze zeeststeltis tic)

Z=-10 Z80104 on the terblen 0 104 Only Z=lion - Plzz-100=021492 Af.prallye Sid Theb regret Ho if p-valued to put fotect Ho Decision Since a 0.01 -p-betlarsa D-verlue = 0.2492_ fulltootejeet Hom Conclusione we conclude that the proportion of high school - teachers who stngite is the same as the proportion of elementary teacher who ce Scanned 9. He singles CamScanner