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 Group$1-50$51-100$101-150$151-200Over $200Row TotalA8363463722251B9453712323264C7857643928266D9982745629340Column Total3542552551551021121 A) 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.)B) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Group	$1-50	$51-100	$101-150	$151-200	Over $200	Row Total
A	83	63	46	37	22	251
B	94	53	71	23	23	264
C	78	57	64	39	28	266
D	99	82	74	56	29	340
Column Total	354	255	255	155	102	1121

A) 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.)

B) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

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

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