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

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The discussion focuses on analyzing the relationship between gender and brand preferences using a Chi-Square analysis based on a sample of 100 individuals. The data shows that men prefer Brand A over Brand B, while women show a preference for Brand B over Brand A. Participants are encouraged to demonstrate their attempts at solving the problem rather than seeking direct answers. The significance level for the analysis is set at 5%, with specific Chi-Square values provided for different degrees of freedom. The thread emphasizes the importance of engaging with the material to receive constructive guidance.
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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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This forum isn't for homework questions. If you're trying to get questions answered at least show your attempts at the questions. No-one is going to give you the answer straight up, but someone may give you some guidance if you show an attempt that is heading in the right direction
 
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