Suppose Jamal is studying poverty in his economics class, and he wants to compare the proportion of individuals living below the poverty line in different regions of the United States. He collects data on a simple random sample of people residing in the south and a simple random sample of people residing in the northeast. His data are summarized in the table. Роpulation Sample Number Proportion Population description size of successes of sucesses 1 residents of southern states n¡ = 1093 X1 = 178 = 0.16285 2 residents of northeastern states n2 = 1099 X2 = 143 P2 = 0.13012 Jamal wants to run a two-sample z-test for the difference of two proportions to test the alternative hypothesis, H1: Pi > , against the null hypothesis, Ho: Pi = P2, where pı is the proportion of residents of southern states that are living below the poverty line, and p2 is the proportion of residents of northeastern states that are living below the poverty line. Jamal selects a significance level of a = 0.05. Compute the z-statistic and P-value for Jamal's z-test for the difference of two proportions, p1 – p2. Give your answers precise to three decir z-statistic = P-value =

Suppose Jamal is studying poverty in his economics class, and he wants to compare the proportion of individuals living below the poverty line in different regions of the United States. He collects data on a simple random sample of people residing in the south and a simple random sample of people residing in the northeast. His data are summarized in the table. Роpulation Sample Number Proportion Population description size of successes of sucesses 1 residents of southern states n¡ = 1093 X1 = 178 = 0.16285 2 residents of northeastern states n2 = 1099 X2 = 143 P2 = 0.13012 Jamal wants to run a two-sample z-test for the difference of two proportions to test the alternative hypothesis, H1: Pi > , against the null hypothesis, Ho: Pi = P2, where pı is the proportion of residents of southern states that are living below the poverty line, and p2 is the proportion of residents of northeastern states that are living below the poverty line. Jamal selects a significance level of a = 0.05. Compute the z-statistic and P-value for Jamal's z-test for the difference of two proportions, p1 – p2. Give your answers precise to three decir z-statistic = P-value =

Name: Suppose Jamal is studying poverty in his economics class, and he want
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Description: Suppose Jamal is studying poverty in his economics class, and he wants to compare the proportion of individuals livingbelow the poverty line in different regions of the United States. He collects data on a simple random sample of peopleresiding in t

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

Unitary Method

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Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

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Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

Suppose Jamal is studying poverty in his economics class, and he wants to compare the proportion of individuals living
below the poverty line in different regions of the United States. He collects data on a simple random sample of people
residing in the south and a simple random sample of people residing in the northeast. His data are summarized in
the table.
Population
Sample
Number
Proportion
Рopulation
description
size
of successes
of sucesses
1
residents of southern states
n¡ = 1093
X1 = 178
= 0.16285
%3D
2
residents of northeastern states
n2 = 1099
X2
= 143
= 0.13012
Jamal wants to run a two-sample z-test for the difference of two proportions to test the alternative hypothesis, H1: p1 > !
against the null hypothesis, Ho: P1 = P2, where pi is the proportion of residents of southern states that are living below
the poverty line, and p2 is the proportion
residents of northeastern states that are living below the poverty line. Jamal
selects a significance level of a = 0.05.
Compute the z-statistic and P-value for Jamal's z-test for the difference of two proportions, pi – P2.
Give
your answers
precise to three decir
z-statistic =
P-value =

Based on your answers and a significance level of a = 0.05, complete the following sentences to state the decision and
conclusion of Jamal's test.
Jamal decides
the
hypothesis. The conclusion is that
the proportion of southerners
living in poverty
the proportion of northeasterners living in
poverty, because
Answer Bank
that no decision can be made about
ассept
the test requirements have not been met
the difference is statistically significant (P < 0.05)
is higher than
the difference is not statistically significant (P > 0.05)
compared to
is different than
to reject
to fail to reject
there is sufficient evidence that
is the same as
is less than
there is insufficient evidence that
alternative
no conclusion can be drawn about
null

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