Problem 26BSC

Misleading Survey Responses In a survey of 1002 people, 70% said that they voted in a recent presidential election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote.

a. Find a 98% confidence interval estimate of the proportion of people who say that they voted.

b. Are the survey results consistent with the actual voter turnout of 61%? Why or why not?

Answer:

Step 1 of 1

Given, In a survey of 1002 people, 70% said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote.

a. Here, n = 1002

= 70%

= 0.7

= 1 - 0.7

= 0.3

Now, the 98% confidence interval estimate of the proportion of people who say that they voted is given by

Where E is the margin of error.