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30 May, 23:11

4. The following intervals were plausible population proportions for a given sample. Find the margin of error in each case.

a. From 0.35 to 0.65

b. From 0.72 to 0.78

c. From 0.84 to 0.95

d. From 0.47 to 0.57

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  1. 30 May, 23:40
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    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
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