Answer: a. 0.15 b. 0.03 c. 0.055 d. 0.05
Step-by-step explanation:
For plausible intervals of population proportions , the margin of error is basically half of the difference between upper limit and lower limit.
a. Interval = From 0.35 to 0.65
Upper limit = 0.65
Lower limit = 0.35
Difference = Upper limit- Lower limit
= 0.65-0.35=0.30
Margin of error = (Difference)÷2 =(0.30)÷2=0.15
b. Interval = From 0.72 to 0.78
Upper limit = 0.78
Lower limit = 0.72
Difference = 0.78-0.72 = 0.06
Margin of error =(0.06)÷2=0.03
c. Interval = From 0.84 to 0.95
Upper limit = 0.95
Lower limit = 0.84
Difference =0.95-0.84= 0.11
Margin of error = (0.11)÷2 = 0.055
d.Interval = From 0.47 to 0.57
Upper limit = 0.57
Lower limit = 0.47
Difference = 0.57-0.47=0.10
Margin of error = (0.10)÷2=0.05
