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 $51-100 Ethnic Group $101-150 48 Over $200 Row Total $1-50 81 $151-200 34 67 21 251 100 44 67 28 25 264 84 59 54 36 33 266 108 67 56 29 340 Column Total 373 250 236 154 108 1121

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(a) What is the level of significance?

(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.)

What are the degrees of freedom?

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
$51-100
Ethnic Group
$101-150
48
Over $200
Row Total
$1-50
81
$151-200
34
67
21
251
100
44
67
28
25
264
84
59
54
36
33
266
108
67
56
29
340
Column Total
373
250
236
154
108
1121
Transcribed Image Text: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 $51-100 Ethnic Group $101-150 48 Over $200 Row Total $1-50 81 $151-200 34 67 21 251 100 44 67 28 25 264 84 59 54 36 33 266 108 67 56 29 340 Column Total 373 250 236 154 108 1121
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