21 of 40 (33 Use the sample data and confidence level given below to complete pa

Question

21 of 40 (33 Use the sample data and confidence level given below to complete parts (a) thwough (d) A research institute pol asked respondents if they acted to annoy a bad dnver. In the poll, n-2439, and x-1117 who said that they honked. Use a 99% confidence level. EEB Click the icon to view a table of z scores a) Find the best point estimate of the population proportion p (Round to three decimal places as needed.) b) Identity the value of the margin of error E (Round to four decimal places as needed ) c) Construct the confidence intervat Round to three decimal piaces as needed ) Click to select your answer(s) 051 PM

Explanation / Answer

p= 0.458

q= 0.5420

n= 2439

alpha=0.01 then Z(alpha/2)=2.576

Margin of error E=Z(alpha/2)*sqrt(p*q/n)

=2.576*sqrt(0.458*0.542/2439)

=0.02599

99% Confidence interval for population proportion =(p-E,p+E)

rounded lower bound= 0.432

rounded upper bound= 0.484

0.432 <=P <= 0.484

....................

answers

a) point estimate P=0.458

b) E=0.02599 rounded to 4 decimal = E=0.0260

c) 0.432 <=P <= 0.484

d) (A) There is 99% chances that the true value of the population will fall between lower bound and upper bound.

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