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Chi Square

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In a congressional district in Los Angeles a random sample of voters were asked which of the 3 candidates they voted for. The results were as follows:

Candidates White Black Mexican-American Row Totals
Blanca 2 4 19 25
Whyte 3 28 4 35
Weiss 25 13 2 40
Column Totals 30 45 25 100 = sample size n

Do the data present sufficient evidence to claim that voting habits depend on ethnic background? Test at the 0.01 significance level.

PS: PLEASE SHOW ALL WORK AND EXPLAIN IN BASIC, BASIC TERMS. Thank you for your assistance.

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Solution Summary

In a congressional district in Los Angeles a random sample of voters were asked which of the 3 candidates they voted for. The results were as follows:

Candidates White Black Mexican-American Row Totals
Blanca 2 4 19 25
Whyte 3 28 4 35
Weiss 25 13 2 40
Column Totals 30 45 25 100 = sample size n

Do the data present sufficient evidence to claim that voting habits depend on ethnic background? Test at the 0.01 significance level.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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