A sociologist studying New York City ethnic groups wants to determine if there is a difference in

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A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries.

In the problem, please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find SS_TOT, SS_BET, and SSW and check that SS_TOT – SSB_ET + SS_W. Find d.f._BET, d.f._W, MS_BET, and MS_W. Find the value of the sample test statistic F (F ratio).

What are the degrees of freedom?

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

(e) Interpret your conclusion in the context of the application.

(f) Make a summary table for your ANOVA test.

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a a 005 H 0 1 2 3 4 H 1 Not all the means are equal b S...View the full answer

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Related Book For book-img-for-question

Understandable Statistics Concepts And Methods

ISBN: 9781337119917

12th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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Question Posted: Jun 19, 2017 08:25 AM

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a a 005 H 0 1 2 3 4 H 1 Not all the means are equal b S...View the full answer

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