18. | Political Affiliation: Spending Two random samples were drawn frommembers of the U.S. Congress. One sample was taken from members whoare Democrats and the other from members who are Republicans. For eachsample, the number of dollars spent on federal projects in each congressper-son's home district was recorded.(i) Make a cluster bar graph showing the percentages of Congress membersfrom each party who spent each designated amount in their respectivehome districts.(ii) Use a 1% level of significance to test whether congressional members ofeach political party spent designated amounts in the same proportions.Dollars Spent on Federal Projectsin Home DistrictsLess than5 to 10More thanRowParty5 BillionBillion10 BillionTotalDemocratic8152245Republican12191647Column Total20343892 For Problems 9–19, 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 theexpected frequencies greater than 5? What sampling distribution will youuse? 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) to (c), will you reject or fail to rejectthe null hypothesis of independence?(e) Interpret your conclusion in the context of the application.Use the expected values E to the hundredths place.

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18. | Political Affiliation: Spending 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 congressper- son's home district was recorded. (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. Dollars Spent on Federal Projects in Home Districts 5 to 10 Billion Less than More than Row Party 5 Billion 10 Billion Total Democratic 8 15 22 45 Republican 12 19 16 47 Column Total 20 34 38 92

18. | Political Affiliation: Spending 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 congressper- son's home district was recorded. (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. Dollars Spent on Federal Projects in Home Districts 5 to 10 Billion Less than More than Row Party 5 Billion 10 Billion Total Democratic 8 15 22 45 Republican 12 19 16 47 Column Total 20 34 38 92

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

18. | Political Affiliation: Spending 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 congressper-
son's home district was recorded.
(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.
Dollars Spent on Federal Projects
in Home Districts
Less than
5 to 10
More than
Row
Party
5 Billion
Billion
10 Billion
Total
Democratic
8
15
22
45
Republican
12
19
16
47
Column Total
20
34
38
92

For Problems 9–19, 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) to (c), will you reject or fail to reject
the null hypothesis of independence?
(e) Interpret your conclusion in the context of the application.
Use the expected values E to the hundredths place.

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