# Two random samples were drawn from members of the U.S. Congress. One sample was taken from members

## Question:

(i) Make a cluster bar graph showing the percentages of Congress members from each party who spent each designated amount in their respective home districts.

(ii) Use a 1% level of significance to test whether congressional members of each political party spent designated amounts in the same proportions.

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)€“(c), will you reject or fail to reject the null hypothesis of independence?

(e) Your conclusion in the context of the application.

Use the expected values E to the hundredths place.

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**Related Book For**

## Understanding Basic Statistics

**ISBN:** 9781111827021

6th Edition

**Authors:** Charles Henry Brase, Corrinne Pellillo Brase