One of the questions in a Financial Times/Harris Poll was,...

One of the questions in a Financial Times/Harris Poll was, "How much do you favor or oppose a higher tax on higher carbon emission cars?" Possible responses were strongly favor, favor more than oppose, oppose more than favor, and strongly oppose. The following crosstabulation shows the responses obtained for 5372 adults surveyed in four countries in Europe and the United States (Harris Interactive website, February 27,2008 ). a. Construct a percent frequency distribution for the level of support variable. Do you think the results show support for a higher tax on higher carbon emission cars? b. Construct a percent frequency distribution for the country variable. c. Does the level of support among adults in the European countries appear to be different than the level of support among adults in the United States? Explain.

One of the questions in a Financial Times/Harris Poll was, "How much do you favor or oppose a higher tax on higher carbon emission cars?" Possible responses were strongly favor, favor more than oppose, oppose more than favor, and strongly oppose. The following crosstabulation shows the responses obtained for 5372 adults surveyed in four countries in Europe and the United States (Harris Interactive website, February 27,2008 ).
a. Construct a percent frequency distribution for the level of support variable. Do you think the results show support for a higher tax on higher carbon emission cars?
b. Construct a percent frequency distribution for the country variable.
c. Does the level of support among adults in the European countries appear to be different than the level of support among adults in the United States? Explain.

Key Concepts

Percent Frequency Distribution

A percent frequency distribution takes the raw counts of a variable’s response categories and converts them into percentages of the total sample, allowing for easier comparisons between groups or categories regardless of sample size. This concept is essential in descriptive statistics when summarizing categorical data and aids in visualizing the proportion each category represents within the dataset.

Cross-Tabulation

Cross-tabulation is a method used to analyze the relationship between two or more categorical variables by displaying the distribution of one variable across the categories of another variable. It helps in understanding how different groups compare and in identifying patterns or associations between variables within survey data.

Survey Data Analysis

Survey data analysis involves the systematic collection, interpretation, and presentation of data gathered from respondents. It encompasses techniques such as constructing frequency distributions, cross-tabulation, and interpreting percentage distributions, all of which are crucial for drawing conclusions about population characteristics and opinions from sampled data.

Comparative Analysis

Comparative analysis in statistics refers to the process of comparing data distributions across different groups or settings to determine if differences exist and whether these differences are statistically or practically significant. This concept is key when evaluating how responses may vary between different demographic or geographic groups, such as comparing results from respondents in various countries.

Transcript

00:01 Hey everyone.

00:02 Today we'll be walking through problem number 48, a three -part problem from chapter two of the essentials for modern business statistics textbook.

00:11 In part a, we're asked to construct a percent frequency distribution for the level of support variable, and then we're asked a side question about it.

00:19 In part b, you're asked to make the percent frequency distribution for the country variable, and then in part c, the last part, you're asked a question based off of the information you've just found.

00:29 So let's start off with part.

00:31 A.

00:32 We're just going to be filling out frequencies, so how many times it appears for strongly favor, favor more than oppose, oppose more than favor, and then strongly opposed.

00:44 We know that the total is going to have to be 5 ,372.

00:49 Let us know that.

00:50 And then for percent frequencies, we know our totals have to sum up to 100 percent, because 100 percent is the whole in terms of so frequency, if i count up strongly flavor, sorry, i keep on saying strongly flavor, it's strongly favor, 1617 people, strongly favor, then for favor more than oppose, 1871, or 1 ,871 people chose favor more than opposed.

01:28 For opposed more than favor, 1 ,135 people chose that option.

01:35 And last but not least, for strongly opposing, 749 chose it.

01:49 So when you compute each number individually, so 16, 17 over the total, and then multiply it by 100, so times 100.

02:01 So when you do that part -to -whole ratio, so you do each one divided by this total right here, and multiply it by 100.

02:08 You got your percent frequencies.

02:10 So for strongly favor, i got 30 .105 percent.

02:22 For favor more than opposed, you're going to get a bigger number slightly at 34 .8 to 87%.

02:40 For those who oppose more than favor, you're going to get 21 .1281%.

02:56 And last but not least, for those who strongly oppose, we're going to get 13 .947.

03:11 So now that you filled out your percent frequency, which is what they asked us to do in the first part of our day, you're asked a question, do you think the results show support for a higher tax on carbon on higher, sorry, do you think the results show support for a higher tax on higher carbon emission carbs? and the answer is going to be yes, because 30 plus 34 is the majority.

03:43 So majority support, or majority are in favor, somewhat, or completely.

03:50 Either they're strongly in favor of this tax or they are somewhat in favor.

03:54 So majority support.

04:00 So the answer to that question at the end part of part a is going to be yes.

04:06 All right, moving on to part b.

04:08 You are now asked to construct percent frequency distribution for the country variable.

04:14 So i've listed out the different countries given, and i'm going to be writing the frequencies and then the percent frequencies for these countries.

04:21 Again, the total is going to be the same, 5 ,372.

04:27 Actually, the totals for both are going to be the same because for percent frequency, the total always has to be 100%.

04:34 So for great britain, i have 187 participated in their, who answered essentially, that's an eight.

04:48 And then for italy, i have 1 ,045...

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