Astudy was conducted to determine the proportion of american teenagers between 13 and 17 who smoke. previous surveys showed that 15% percent of all teenagers smoke. a gallup survey interviewed a nationally representative sample of 785 teenagers aged 13 to 17. seventy-one teenagers in the survey acknowledged having smoked at least once in the past week. does the study provide adequate evidence to conclude that the percentage of teenagers who smoke is now different than 15%
1. are the requirements for both a confidence intervale and a hypothesis test met?
2. determine the appropriate 95% confidence intervale for the true proportion of teenage smokers. input your answers for the margin of error, lower bound and upper bound.

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality