A researcher would like to determine if the proportion of households without health insurance coverage differs with household income. Suppose the following data were collected from 700 randomly selected households. Complete parts a through c. Heath Insurance O Household Income Yes No Less than $25,000 59 22 $25,000 to $49,999 142 40 $50,000 to $74,999 $75,000 or more 203 35 171 28 a. Using a= 0.01, perform a chi-square test to determine if the proportion of households without health insurance differs by income bracket. Choose the correct null and alternative hypotheses below. O A. Ho P1 = P2 = P3 = P4 H, P, P2 # P3 * Pa O B. Ho P, " P2 = P3 =P4 H,: Not all p's are equal OC. Ho P, # P2 # Pg # Pa H, P, =P2 = Pa =P4 O D. Ho Not all p's are equal H,: P, = P2 = P3 =P4 What is the test statistic? (Round to two decimal places as needed.) What is the critical value? (Round to two decimal places as needed.) State the conclusion. (1) Ho. There is (2) evidence that the proportion of households without health insurance differs by income bracket.
A researcher would like to determine if the proportion of households without health insurance coverage differs with household income. Suppose the following data were collected from 700 randomly selected households. Complete parts a through c. Heath Insurance O Household Income Yes No Less than $25,000 59 22 $25,000 to $49,999 142 40 $50,000 to $74,999 $75,000 or more 203 35 171 28 a. Using a= 0.01, perform a chi-square test to determine if the proportion of households without health insurance differs by income bracket. Choose the correct null and alternative hypotheses below. O A. Ho P1 = P2 = P3 = P4 H, P, P2 # P3 * Pa O B. Ho P, " P2 = P3 =P4 H,: Not all p's are equal OC. Ho P, # P2 # Pg # Pa H, P, =P2 = Pa =P4 O D. Ho Not all p's are equal H,: P, = P2 = P3 =P4 What is the test statistic? (Round to two decimal places as needed.) What is the critical value? (Round to two decimal places as needed.) State the conclusion. (1) Ho. There is (2) evidence that the proportion of households without health insurance differs by income bracket.
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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Transcribed Image Text:1
Heath Insurance D
A researcher would like to determine if the proportion of households without health insurance coverage differs with household income.
Suppose the following data were collected from 700 randomly selected households. Complete parts a through c.
UT
Household Income
Yes
No
Less than $25,000
$25,000 to $49,999
$50,000 to $74,999
$75,000 or more
59
22
142
40
203
35
171
28
a. Using a = 0.01, perform a chi-square test to determine if the proportion of households without health insurance differs by income bracket.
Choose the correct null and alternative hypotheses below.
O A. Ho: P1 =P2 = P3 = P4
H1: P1 # P2 # P3 # P4
O B. Ho: P1 = P2 = P3 = P4
H,: Not all p's are equal
O C. Ho: P1 #P2 # P3 # P4
H1: P1 = P2 = P3 = P4
O D. Ho: Not all p's are equal
H4: P1 = P2 = P3 = P4
What is the test statistic?
(Round to two decimal places as needed.)
What is the critical value?
X6.01
(Round to two decimal places as needed.)
%3D
State the conclusion.
(1)
Ho. There is (2)
evidence that the proportion of households without health insurance differs by income bracket.
Transcribed Image Text:b. Interpret the meaning of the p-value.
What is the p-value?
p-value =
(Round to three decimal places as needed.)
What does the p-value mean? Select the correct choice and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
O A. There is a
% chance of observing a test statistic value greater than the actual test statistic value if there is no difference in the proportion of households without health insurance.
O B. There is a
% chance of rejecting the null hypothesis when it should not be rejected.
O C. Given a very large number of samples, there is a
% chance of observing a sample with the given data.
c. How does income appear to impact the likelihood that a household has insurance coverage?
O A. The proportion of households without health insurance increases as income increases.
O B. The proportion of households without health insurance differs by income bracket.
O C. The proportion of households without health insurance does not differ by income bracket.
O D. The proportion of households without health insurance is always uniform and does not depend on income bracket.
(2) O insufficient
O sufficient
(1) O Do not reject
O Reject
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