Cross Tabulations

BONUS ASSIGNMENT #3
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YOUR TASK:
Please complete the following questions. They are related to the material from Chapter 16.
 

1. What is the general rule for computing percentages in cross-tabulation?
The general rule is to calculate percentages in the independent variable direction, in the dependent variable direction.

2. Discuss the reasons for the frequent use of cross-tabulations. What are some of its limitations?
Cross-tabulations allows researchers to closely investigate relationships between data sets, which reduces the possibility of errors when analyzing data. Cross lists can provide deep data insights. By reducing the total data set into more manageable subgroups, cross-lists allow researchers to derive more nuanced insights. Cross lists simplify complex data sets, making these influential insights easier to document and consider when developing an overall strategy.

3. From a survey of 1,000 families, the following two way table was constructed. What percentage of people with high income owned the product? Medium income? Low income? What percentage of people with high, medium, and low income did not own the product?

OWNED PRODUCT X
Yes No
INCOME LEVEL High 200 150
Medium 175 100
Low 125 250
Column Totals 500 500

4. According to the following cross-tabulation, what is the sample size? Are consumers more likely to buy a new cellular phone if it has internet access than if it does not? Explain.

WOULD BUY CELL PHONE
Yes No Total
INTERNET ACCESS Yes 80 (80%) 20 (20%) 100 (100%)
No 20 (20%) 80 (80%) 100 (100%)
Column Totals 100 (100%) 100 (100%) 200

5. A major department store chain is having an end-of-season sale on refrigerators. The number of refrigerators sold during this sale at a sample of 10 stores was: 80, 110, 0, 40, 70, 80, 100, 50, 80, and 30.

If you were to calculate the average number of refrigerators sold, which measure of central tendency (mean, median or mode) is most useful? Justify your answer.

6. In a study measuring households’ familiarity with downloading pictures from the internet, the following results were obtained (1 = not at all familiar, 7 = very familiar). Construct a histogram with familiarity on the x-axis and frequency on the y axis.

LEVEL OF FAMILIARITY NUMBER OF HOUSEHOLDS

1 22
2 26
3 34
4 40
5 32
6 28
7 18

What conclusions do you draw from this data?

7. Based on the following cross-tabulation, identify the independent and dependent variables. How might this information be used in the real estate industry?

NUMBER OF KIDS
None One-Three Four+
RESIDENCE TYPE House 11,893 (81.8%) 7,584 (85.2%) 745 (84.1%)
Apartment/Condo 2,646 (17.2%) 1,318 (14.8%) 141 (15.9%)
Column Totals 14,539 (100%) 8,902 (100%) 886 (100%)