Two random samples were drawn from members of US Congress On

Two random samples were drawn from members of US. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample the number of dollars spent on federal projects in each congressperson\'s home district was recorded. (See table below)

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

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

Dollars Spent on Federal Projects in Home Districts

Party	Less than 5 billion	5-10 Billion	More than 10 Billion	Row Total
Democratic	8	15	22	45
Republican	12	19	16	47
Column Total	20	34	38	92

Use chi square test to check the hypohtesis.

H0: congressional members of each political party spent designated amounts in the same proportions.

Ha: They were not the same

Two tailed chi square test.

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The chi-square statistic is 2.1755. The P-Value is 0.336973. The result is not significant at p < 0.05.

Hence accept null hypothesis.

Results
	< 5 billion	5-10 billion	>15 billion	Row Totals
Democratic	8 (9.78) [0.32]	15 (16.63) [0.16]	22 (18.59) [0.63]	45
Republician	12 (10.22) [0.31]	19 (17.37) [0.15]	16 (19.41) [0.60]	47



Column Totals	20	34	38	92 (Grand Total)

Two random samples were drawn from members of US. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans.

Two random samples were drawn from members of US Congress On

Solution

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