Problem 8RE

Problem

Marijuana Survey In a recent Pew poll of 1500 adults, 52% of the respondents said that the use of marijuana should not be made legal. In the same poll, 23% of the respondents said that the use of marijuana for medical purposes should not be legal.

a. The sample of 1500 adults was selected from the population of all adults in the United States. The method used to select the sample was equivalent to placing the names of all adults in a giant bowl, mixing the names, and then drawing 1500 names. What type of sampling is this? (random, systematic, convenience, stratified, cluster)

b. If the sampling method consisted of a random selection of 30 adults from each of the 50 states, what type of sampling would this be? (random, systematic, convenience, stratified, cluster)

c. What is the level of measurement of the responses of yes, no, don’t know, and refused to respond?

d. Is the given value of 52% a statistic or a parameter? Why?

e. What would be wrong with conducting the survey by mailing a questionnaire that respondents could complete and mail back?

Answer :

Step 1 of 1 :

Given, In a recent Pew poll of 1500 adults, 52% of the respondents said that the use of marijuana should not be made legal. In the same poll, 23% of the respondents said that the use of marijuana for medical purposes should not be legal.

a)

Random Sampling : a simple random sample is a sample chosen from a population.

This is a Random sampling, because everyone in the population have the equal chance of being selected.

b)

Stratified sampling : the researcher divides the population into separate groups, called strata. Then, a probability sample (often a simple random sample ) is drawn from each group.

Strata : the total population is divided into non-overlapping subgroups.

The 50 states represent the strata, which we assume to represent opinions differently.

Therefore this is a Stratified sample.

c)

Nominal: Nominal scales are used for labeling variables, without any quantitative value. “Nominal” scales could simply be called “labels.”

The responses are only used for identification purpose. They are not numerical, there is no way for us to rank the responses.

Therefore this is Nominal.

d) the data comes from a sample.

therefore, this is a Statistic.

e) the sample would become voluntary. We could assume that only those with strong opinions about the subject would respond to the questionnaire, which would not be a representative sample.