Question

The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below.
Music TypeTeenagers SurveyedTeenagers Favoring This Type
Pop800 384
Rap900 450

The 99% confidence Interval is ________

Select one:

a. (-0.413, 0.233)

b. (-0.0413, 0.233)

c. (-0.0826, 0.04255)

d. (0.04, -0.03)

Answer 1

results of Gliren, the a recent poll on the preference of teenagens regarding the types of music they liten to Pop Rap Teenagers 800 surveyed Teenagers type 384 450 To find, 99% confidence internal.. 900 favoring thos solution: we have, Pop ni = 800 Rap ng = 900 Xy=450 X: + 384 now, to pohd porthat estimate P = Ppop 384 800 = 0.48 ni R = Prap = 0.5 450 900 no The two -0.02 The paint estimate for the difference between population proportions, Pr - 8 = 0.48 - 0.5 Then, to find the standard error of BB standard essor of Bi-Po = RC-P) + PCI-B Di 12 10:48 (1-0.48) + 0.5C1-0.5) 800 900 = 0.000312 + 0.000978 0.02428 how, The 99%...congidence Eternal estimate for the difperena between the two population proportions, B-B I 70.005 SE CĚ,- ). Z42 -0.02 $2.516 C0.02428) -0.021 0.06 2545 -0.02 -0.062545, -0.00+ 0.06 2545 C = -0.99 -0.08 2545 0.04.255 - 20.04 = 70.5 pote =0.01

The refore, The 992 confidence interval is, 60.0896, 0.04255) Answer: option c.