A polling firm would like to estimate the proportion of registered Fort Collins
ID: 3272030 • Letter: A
Question
A polling firm would like to estimate the proportion of registered Fort Collins voters who plan to vote in the upcoming city elections, and they would also like to see if there is a noticeable difference between how likely men and women are to vote. Using voter registration records, they randomly sample 300 names and mail surveys to the selected voters' home addresses. Of the surveys they mail out, they receive 68 back. The survey has one question that reads as follows: "Which of the following describes how likely you are to vote next year in next year's mid-term elections: Definitely not voting, not likely to vote, likely to vote, or definitely voting?" For each question below, fill in the blank using the best answer from the pull-down menu. a. The group of all registered voters in Fort Collins is the population of interest. b. The survey respondent's answer to the Italicized question above is the response variable of interest. c. The survey respondent's gender is the predictor variable of interest. d. Suppose we calculate the proportion of voters from our sample who say they are definitely voting. This population is an example of a/an parameter. e. Suppose we are interested in estimating the proportion of male voters in Fort Collins who will definitely be voting. This proportion is an example of a/an: sample f. Each individual person in our sample is considered to be a/an: observation g. If the people who returned the surveys did so for a reason that is related to their likelihood of voting, then there might be bias in our sample. h. If we use the difference between the proportion of men in our sample who will definitely be voting and the proportion of women in our sample who will definitely be voting in order to make a claim the differences between all male and female voters in Fort Collins, we are engaging in statistical inference.Explanation / Answer
Solution:
d. Suppose we calculate the proportion of voters from our sample who say they are definitely voting. This proportion is an example of a/an : statistic
e. Suppose we are interested estimating the proportion of voters in Fort Collins who will definitely be voting. This proportion is an example of a/an : Parameter