Is Gender Linked to Brand Preferences According to Chi-Square Analysis?

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SUMMARY

The discussion centers on analyzing the relationship between gender and brand preferences using Chi-Square analysis based on a sample of 100 individuals. The data indicates that 30 men prefer Brand A while 20 women prefer Brand A, and vice versa for Brand B. At a 5% significance level, the Chi-Square test is applied to determine if gender and brand preference are independent, referencing critical values of 3.84, 5.99, and 7.81 for respective degrees of freedom. Participants emphasize the importance of showing attempts at solving such problems to receive constructive guidance.

PREREQUISITES
  • Understanding of Chi-Square analysis
  • Familiarity with significance levels in hypothesis testing
  • Basic knowledge of statistical sampling methods
  • Ability to interpret contingency tables
NEXT STEPS
  • Study the application of Chi-Square tests in R or Python
  • Learn how to calculate expected frequencies in contingency tables
  • Explore the implications of p-values in hypothesis testing
  • Investigate other statistical tests for categorical data analysis
USEFUL FOR

Statisticians, data analysts, marketing researchers, and anyone interested in understanding the relationship between demographic factors and consumer behavior.

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The following table shows brand preferences against gender on the basis of a random sample of size 100 from population. It is intended to examine possible association between gender and brand preferences.

Brand A Brand B
Men 30 20
Women 20 30

At 5% level of significance will you conclude that gender and brand preferred are independent? It is given that the table value of the Chi-Square distribution with right tail area equal to 5% for 1, 2 and 3 degrees of freedom are 3.84, 5.99 and 7.81 respectively.
 
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