After a large fund drive to help the Boston City Library, the following information was obtained from a random sample of contributors to the library fund. Using a 1% level of significance, test the claim that the amount contributed to the library fund is independent of ethnic group.Number of People Making Contribution$51-10055476589256Ethnic GroupABсDColumn TotalUSE SALT$1-50889676100360(a) What is the level of significance?State the null and alternate hypotheses.O Ho: Contribution level and ethnic group are not independent.H₁: Contribution level and ethnic group are not independent.$101-150 $151-200 Over $2005267O Ho: Contribution level and ethnic group are independent.H₁: Contribution level and ethnic group are independent.5071240O Ho: Contribution level and ethnic group are independent.H₁: Contribution level and ethnic group are not independent.O Ho: Contribution level and ethnic group are not independent.H₁: Contribution level and ethnic group are independent.Are all the expected frequencies greater than 5?O YesO NoWhat sampling distribution will you use?O uniformO Student's tO binomialO normalO chi-squareWhat are the degrees of freedom?34294554162222530(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)26103Row Total2512642663401121 (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)p-value > 0.100O 0.050 < p-value < 0.100O 0.025 < p-value < 0.050O 0.010 < p-value < 0.025O 0.005 < p-value < 0.010O p-value < 0.005(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?Since the P-value > a, we fail to reject the null hypothesis.Since the P-value > a, we reject the null hypothesis.Since the P-value ≤ a, we reject the null hypothesis.O Since the P-value sa, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.O At the 1% level of significance, there is sufficient evidence to conclude that contribution level and ethnic group are not independent.At the 1% level of significance, there is insufficient evidence to conclude that contribution level and ethnic group are not independent.

By applying a chi-square test for independence, Observed frequency (O) Table:

Ethnic Group A B с Column Total $1-50 88 96 76 100 360 USE SALT (a) What is the level of significance? Number of People Making Contribution $51-100 55 47 65 89 256 $101-150 $151-200 34 52 67 50 71 240 State the null and alternate hypotheses. OH: Contribution level and ethnic group are not independent. H₁: Contribution level and ethnic group are not independent. OH: Contribution level and ethnic group are independent. H₁: Contribution level and ethnic group are independent. 29 45 54 162 Over $200 22 25 30 26 103 Row Total 251 264 266 340 1121

Ethnic Group A B с Column Total $1-50 88 96 76 100 360 USE SALT (a) What is the level of significance? Number of People Making Contribution $51-100 55 47 65 89 256 $101-150 $151-200 34 52 67 50 71 240 State the null and alternate hypotheses. OH: Contribution level and ethnic group are not independent. H₁: Contribution level and ethnic group are not independent. OH: Contribution level and ethnic group are independent. H₁: Contribution level and ethnic group are independent. 29 45 54 162 Over $200 22 25 30 26 103 Row Total 251 264 266 340 1121

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

See similar textbooks