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4 Harris Interactive asked samples of adults (age 18 and over) in various countries, "How important are brand names to you, if at all, when purchasing clothes and fashion accessories?" The responses are given in the table below, as a percent. Very Important Important Not That Important Not At All Important Column Total Sample Size U.S. China India 4 19 23 21/ 53 51 48 24 21 27 4 100% 100% 2,309 Britain France 7 3 17 22 41 49 5 35 26 100% 100% 100% 500 500 1,293 1,179 4 b. Name two countries where you think that the difference in the percentages probably will not be statistically significant. Source: www.harrisinteractive.com a. Name two countries for which the difference in the percentages between those countries clearly is statistically significant. Explain your reasoning. c. For the countries you chose in Part b, convert each percentage to a frequency. Round to the nearest whole number. d. For the two countries you chose in Part b, compute x². comparison? g. Write a conclusion. e. How many categories are there for each sample? f. What critical value should be used for Germany Spain Italy 3 2 2 26 26 50 51 22 21 100% 100% 1,019 1,064 19 49 29 100% 1,058 PRADA

4 Harris Interactive asked samples of adults (age 18 and over) in various countries, "How important are brand names to you, if at all, when purchasing clothes and fashion accessories?" The responses are given in the table below, as a percent. Very Important Important Not That Important Not At All Important Column Total Sample Size U.S. China India 4 19 23 21/ 53 51 48 24 21 27 4 100% 100% 2,309 Britain France 7 3 17 22 41 49 5 35 26 100% 100% 100% 500 500 1,293 1,179 4 b. Name two countries where you think that the difference in the percentages probably will not be statistically significant. Source: www.harrisinteractive.com a. Name two countries for which the difference in the percentages between those countries clearly is statistically significant. Explain your reasoning. c. For the countries you chose in Part b, convert each percentage to a frequency. Round to the nearest whole number. d. For the two countries you chose in Part b, compute x². comparison? g. Write a conclusion. e. How many categories are there for each sample? f. What critical value should be used for Germany Spain Italy 3 2 2 26 26 50 51 22 21 100% 100% 1,019 1,064 19 49 29 100% 1,058 PRADA

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Survey on Brand Importance in Fashion Purchases** Harris Interactive conducted a survey with adults (age 18 and over) across various countries to assess the significance of brand names when purchasing clothes and fashion accessories. The responses are shown in a table as percentages: | Importance Level | U.S. | China | India | Britain | France | Germany | Spain | Italy | |----------------------|------|-------|-------|---------|--------|---------|-------|-------| | Very Important | 4 | 19 | 23 | 7 | 3 | 3 | 2 | 2 | | Important | 21 | 53 | 51 | 17 | 22 | 19 | 26 | 26 | | Not That Important | 48 | 24 | 21 | 41 | 49 | 49 | 50 | 51 | | Not At All Important | 27 | 4 | 5 | 35 | 26 | 29 | 22 | 21 | | Column Total | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | | Sample Size | 2,309| 500 | 500 | 1,293 | 1,179 | 1,058 | 1,019 | 1,064 | **Source:** www.harrisinteractive.com **Analysis and Questions:** a. **Statistically Significant Differences:** Identify two countries with possibly significant differences in percentages. Explain the rationale for selecting these countries. Consider differences in cultural or market behavior. b. **Minimal Differences:** Choose two countries where differences are likely not significant based on similar cultural or economic conditions. c. **Conversion to Frequency:** For the countries chosen in Part b, convert each percentage response to actual sample frequencies, rounding to the nearest whole number. d. **Chi-Square (χ²) Calculation:** Calculate the chi-square statistic for the countries chosen in Part b using the frequencies obtained. e. **Categories Count:** Determine the number of different response categories (e.g., Very Important, Important) used in
Transcribed Image Text:**Survey on Brand Importance in Fashion Purchases** Harris Interactive conducted a survey with adults (age 18 and over) across various countries to assess the significance of brand names when purchasing clothes and fashion accessories. The responses are shown in a table as percentages: | Importance Level | U.S. | China | India | Britain | France | Germany | Spain | Italy | |----------------------|------|-------|-------|---------|--------|---------|-------|-------| | Very Important | 4 | 19 | 23 | 7 | 3 | 3 | 2 | 2 | | Important | 21 | 53 | 51 | 17 | 22 | 19 | 26 | 26 | | Not That Important | 48 | 24 | 21 | 41 | 49 | 49 | 50 | 51 | | Not At All Important | 27 | 4 | 5 | 35 | 26 | 29 | 22 | 21 | | Column Total | 100% | 100% | 100% | 100% | 100% | 100% | 100% | 100% | | Sample Size | 2,309| 500 | 500 | 1,293 | 1,179 | 1,058 | 1,019 | 1,064 | **Source:** www.harrisinteractive.com **Analysis and Questions:** a. **Statistically Significant Differences:** Identify two countries with possibly significant differences in percentages. Explain the rationale for selecting these countries. Consider differences in cultural or market behavior. b. **Minimal Differences:** Choose two countries where differences are likely not significant based on similar cultural or economic conditions. c. **Conversion to Frequency:** For the countries chosen in Part b, convert each percentage response to actual sample frequencies, rounding to the nearest whole number. d. **Chi-Square (χ²) Calculation:** Calculate the chi-square statistic for the countries chosen in Part b using the frequencies obtained. e. **Categories Count:** Determine the number of different response categories (e.g., Very Important, Important) used in
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