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Using a 95% confidence interval, interpret the interval from the post below. In a random sample,...

Using a 95% confidence interval, interpret the interval from the post below.

In a random sample, 54 out of 420 people filed their taxes before April 1st.
n=420
x=54
95% confidence interval
E=1.96 sqrt((.54 x .46)/420)=0.0477

Math   Statistics-And-Probability   
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Answer #1

Given : n=420 , X=54

The estimate of the sample proportion is ,

Now , ; From Z table

Therefore , the 95% confidence interval is ,

Interpretation : There is 95% confidence that the true proportion of people filed their taxes before April 1st is fall within the inetrval ( 0.0966 , 0.1606 )

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