Question

Fill out the following below: Parameter: Assumptions: In March 2014, Harris Interactive conducted a poll of a random sample of 2234 adult Americans 18 years of age or older and asked, "Which is more annoying to you, tailgaters or slow drivers who stay in the passing lane?" Among those surveyed, 1184 were more annoyed by tailgaters. Construct a 95% confidence interval for the proportion of adult Americans who are more annoyed by tailgaters than slow drivers in the passing lane. Name: Use PANIC and StatKey Interval: (Round your answers to one decimal place) Parameter: Assumptions: Conclusion:

Answer 1

Here we have: n=2234 x= 1184 Sample proportion: 1184 > = 0.53 n 2234 a = 1 -0.95 = 0.05 (95% confidence level) Critical value: Zerit= za 2 = 20.05/2 = +1.96 Confidence interval: (1-7) P=P+ze * n

=0.53 +1.96 * [0.53(1-0.53) 2234 = 0.53 +0.021 = 0.509<P<0.551