his Question: 1 pt 5 of 11 (1 complete) This Quiz: 11 pts possible Use the sampl
ID: 2949916 • Letter: H
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his Question: 1 pt 5 of 11 (1 complete) This Quiz: 11 pts possible Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they acted to annoy a bad driver. In the poll, n = 2354, and x = 1037 who said that they honked. Use a 95% confidence level. EB 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) Identify the value of the margin of error E. (Round to four decimal places as needed.) c) Construct the confidence interval sp e (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. 0 A. B. C. O D One has 95% confidence that the sample proportion is equal to the population proportion. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. 95% of sample proportions will fall between the lower bound and the upper bound. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.Explanation / Answer
Solution:- Given that n = 2354, x = 1037, 95% confidence interval for Z = 1.96
a) point estimate p = x/n = 1037/2354 = 0.441
b) Margin of error E = Z*sqrt(pq/n) = 1.96*sqrt(0.441*0.559/2354) = 0.0201
c) the confidence interval is = p +/- E
= 0.441 +/- 0.0201
= 0.4209 , 0.4611
= 0.421 , 0.461
d) option D. One has 95?% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
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