Question

Consider the accompanying contingency table displaying the sample proportions that fell in the various combinations of categories (e.g., 13% of those in the sample were in the first category of both factors). 1 2 3 1 .13 .19 .28 2 .07 .11 .22 a. Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level .10. b. Repeat the above assuming that the sample size was n = 1000. c. What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis?

          Consider the accompanying contingency table displaying the sample proportions that fell in the various combinations of categories (e.g., 13% of those in the sample were in the first category of both factors).

      1     2     3
1    .13   .19   .28
2    .07   .11   .22

a. Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level .10.
b. Repeat the above assuming that the sample size was n = 1000.
c. What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis?

Consider the accompanying contingency table displaying the sample proportions that fell in the various combinations of categories (e.g., 13% of those in the sample were in the first category of both factors).

1 2 3
1 .13 .19 .28
2 .07 .11 .22

a. Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level .10.
b. Repeat the above assuming that the sample size was n = 1000.
c. What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis?

Added by Kevin F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Supreeta N

10/13/2023

Step 1

First, we need to create the contingency table with the given proportions: ``` | | A1 | A2 | Total | |---|-----|-----|-------| | B1| 0.13| 0.28| 0.41 | | B2| 0.07| 0.22| 0.29 | |---|-----|-----|-------| |Total|0.20| 0.50| 1.00 | ``` Show more…

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Consider the accompanying contingency table displaying the sample proportions that fell in the various combinations of categories (e.g., 13% of those in the sample were in the first category of both factors). a. Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance level .10. b. Repeat the above assuming that the sample size was n = 1000. c. What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis?