16. | Sociology: Ethnic Groups 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%...

Extracted text: 16. | Sociology: Ethnic Groups 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 Ethnic Row Group $1-50 $51-100 $101–150 $151-200 Over $200 Total A 83 62 53 35 18 251 В 94 77 48 25 20 264 78 65 51 40 32 266 D 105 89 63 54 29 340 Column Total 360 293 215 154 99 1121


Extracted text: For Problems 9–19, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? (e) Interpret your conclusion in the context of the application. Use the expected values E to the hundredths place.