Two random samples were drawn from members of the U.S. 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. Dollars Spent on Federal Projects in Home Districts Party Less than 5 Billion 5 to 10 Billion More than 10 billion Row Total Democratic 8 16 21 45 Republican 15 16 16 47 Column Total 23 32 37 92 State the null and alternate hypotheses. H0: Different proportion of Democrats and Republicans within each spending level.H1: Different proportion of Democrats and Republicans within each spending level. H0: Different proportion of Democrats and Republicans within each spending level.H1: Same proportion of Democrats and Republicans within each spending level. H0: Same proportion of Democrats and Republicans within each spending level.H1: Different proportion of Democrats and Republicans within each spending level. H0: Same proportion of Democrats and Republicans within each spending level.H1: Same proportion of Democrats and Republicans within each spending level. (ii) 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? (iii) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) P-value > 0.1000 .050 < P-value < 0.100 0.025 < P-value < 0.0500. 010 < P-value < 0.0250 .005 < P-value < 0.010 P-value < 0.005

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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Two random samples were drawn from members of the U.S. 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.

	Dollars Spent on Federal Projects in Home Districts
Party	Less than 5 Billion	5 to 10 Billion	More than 10 billion	Row Total
Democratic	8	16	21	45
Republican	15	16	16	47
Column Total	23	32	37	92

State the null and alternate hypotheses.

H₀: Different proportion of Democrats and Republicans within each spending level.H₁: Different proportion of Democrats and Republicans within each spending level.

H₀: Different proportion of Democrats and Republicans within each spending level.H₁: Same proportion of Democrats and Republicans within each spending level.

H₀: Same proportion of Democrats and Republicans within each spending level.H₁: Different proportion of Democrats and Republicans within each spending level.

H₀: Same proportion of Democrats and Republicans within each spending level.H₁: Same proportion of Democrats and Republicans within each spending level.

(ii)

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?

(iii)

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

P-value > 0.1000

.050 < P-value < 0.100

0.025 < P-value < 0.0500.

010 < P-value < 0.0250

.005 < P-value < 0.010

P-value < 0.005

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