Question: Helpful references about this question: Chi-Square Tests, The Chi-Square Statistic and the Chi-Square Test for Goodness of Fit, The Chi-Square Test for Independence, Assumptions for

Helpful references about this question: Chi-Square Tests, The Chi-Square Statistic and the Chi-Square Test for Goodness of Fit, The Chi-Square Test for Independence, Assumptions for the Chi-Square Tests, Effect Size and Power for the Chi-Square Tests for Independence, Strategies for Hypothesis Testing When Population Distributions Are Not Normal, Data Transformations, Rank-Order Tests, Comparison of Methods, Chi-Square Tests, Data Transformations, and Rank-Order Tests in Research Articles

Question: A researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of ethnic groups in her community. Her sample includes 300 whites, 80 African Americans, 100 Latinos, 40 Asians, and 80 others. In her community, according to census records, there are 48% whites, 12% African Americans, 18% Latinos, 9% Asians, and 13% others. Is her sample unrepresentative of the population in her community? (Use the .05 level.)

(a) Carry out the steps of hypothesis testing.

(b) Explain your answer to a person who has never taken a course in statistics.

(This problem is a chi-square for a single nominal variable, This problem is not a chi square test for independence and does not involve any contingency tables.)

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