In: Math
1. Quinnipiac University conducted a telephone survey with a randomly selected national sample of 1155 registered voters. The survey asked the respondents, “In general, how satisfied are you with the way things are going in the nation today?” (Quinnipiac University, February 7, 2017). Response categories were Very satisfied, Somewhat satisfied, Somewhat dissatisfied, Very dissatisfied, Unsure/No answer. a. What is the relevant population? b. What is the variable of interest? Is it qualitative or quantitative? c. What is the sample and sample size? d. What is the inference of interest to Gallup; that is, what are they trying to measure or learn about? e. What method of data collection is employed? f. How likely is the sample to be representative? g. Would it make more sense to use averages or percentages as a summary of the data for this question? h. Of the respondents, 24% said they felt somewhat satisfied. How many individuals provided this response?
a) Population: All registered voters over the nation.
b) Variable of interest: Satisfaction of voters, It is quantitative.
c) Sample and sample size: Sample of 1155 registered voters that is the response of voters.
and sample size =1155
d) Inference of interest: To learn how things are going in the nation which are really good or bad. So the development of the nation will depend on the response of voters and they can check how the voters are satisfied or not.
e) Method of data collection: This is the primary data collection and which is collected through direct communication with respondents in form of personal interviews.
f) A sample is sufficiently large so it may represent the population if the respondents give correct information.
g) Yes, Percentage would make more sense. Based on the sample collected we can find out the percentage for each category, that is what percent of voters are satisfied, dissatisfied and so on.
h) Percentage of respondents who said they felt somewhat satisfied = 24% = 0.24
And sample size = n = 1155
Number of individuals provided this response = 0.24 * 1155 = 277.2 that is 277
That is 277 respondents felt somewhat satisfied.