There are three parts to this questions. can you please at least help me with th

Question

There are three parts to this questions. can you please at least help me with the first one, and it would be much appreciated if you could do the second and third part. thank you.

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use ‘‘CI for Single Proportion” and then ‘‘Edit Data” to enter the sample information.

Click here to access StatKey.

In a random sample of 100 people, 35  agree.

Estimate the standard error.

Round your answer to three decimal places.

standard error = _____________

Find the 95%  confidence interval.

Round your answers to three decimal places.

The confidence interval is ____________ to ______________.

Explanation / Answer

Standard Error = Sqrt(p*(1-p)/n))
x = Mean
n = Sample Size,
Mean(x)=35
Sample Size(n)=100
Sample proportion =0.35
Standard Error = Sqrt ( (0.35*0.65) /100) )
= 0.0477

Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=35
Sample Size(n)=100
Sample proportion = x/n =0.35
Confidence Interval = [ 0.35 ±Z a/2 ( Sqrt ( 0.35*0.65) /100)]
= [ 0.35 - 1.96* Sqrt(0.00228) , 0.35 + 1.96* Sqrt(0.00228) ]
= [ 0.25651,0.44349]

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