Constructing and Interpreting Confidence Intervals. In Exercises use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.

From a Prince Market Research poll in which respondents were asked if they acted to annoy a bad driver: n = 2518, x = 1083 who said that they honked. Use a 90% confidence level.

Answer

Step 1 of 4</p>

Given x=1083 , n=2518

a)The best point estimate of the population proportion p=x/n

=1083/2518

=0.43

q=1-p

=1-0.43

=0.57

Step 2 of 4</p>

b)The margin of error E at 90% C.L=1.645

=1.645

=1.645(0.0098)

=0.016