Hi. I need help with part (c) only. Consider the accompanying 2 × 3 table displaying the sample proportions that fell in the various combinations of categories (e.g., 15% of those in the sample were in the first category of both factors).   1 2 3 1 0.15 0.17 0.27 2 0.08 0.11 0.22 State the conclusion in the problem context. F(a) Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level 0.10. State the appropriate hypotheses.Calculate the test statistic. (Round your answer to two decimal places.) χ2 =   What can be said about the P-value for the test?  (b) Suppose the sample consisted of n = 1000 people. Use the chi-squared test for independence with significance level 0.10. Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test?    State the conclusion in the problem context.   (c) What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis? (Round your answer up to the next whole number.)

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Hi. I need help with part (c) only.

Consider the accompanying 2 × 3 table displaying the sample proportions that fell in the various combinations of categories (e.g., 15% of those in the sample were in the first category of both factors).

  1 2 3
1 0.15 0.17 0.27
2 0.08 0.11 0.22
State the conclusion in the problem context.
F(a) Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level 0.10. State the appropriate hypotheses.
Calculate the test statistic. (Round your answer to two decimal places.) 
χ2 =   
What can be said about the P-value for the test? 

(b) Suppose the sample consisted of n = 1000 people. Use the chi-squared test for independence with significance level 0.10. 
Calculate the test statistic. (Round your answer to two decimal places.) 
What can be said about the P-value for the test? 
 
State the conclusion in the problem context.
 

(c) What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis? (Round your answer up to the next whole number.) 

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