construct a confidence interval: n=60; x=19; 95 %

Statistics
Tutor: None Selected Time limit: 1 Day

use the given degree of confidence and sample data to construct a confidence interval for the population proportion p

n=60

x=19

95 percent

May 13th, 2015

If(n 30)
Confidence Interval = x ± zα2 × (σn)

Step 2 : 

Apply the Confidence Interval Formula:


If(n 30)
Confidence Interval = x ± zα2 × (σn)
If(n < 30)
Confidence Interval = x ± tα2 × (σn)

but in our case n=60 which means is greater than 30. Therefore, we use the z-Test tables
Where,
x = 19
σ = 1
α = 1 - (95/100)
Zα2 = Value of the z-table
tα2 = Value of the t-table.

the answer is

18.75 to 19.26


May 13th, 2015

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