A city is collecting data on two neighborhoods, one low income and one middle income, to see whether or not their residents would support an increase in local sales tax to pay for more city services. The city wishes to see if there is evidence to show that the first neighborhood (low income) has a higher level support for the tax compared to the second neighborhood (middle income).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A city is collecting data on two neighborhoods, one low
income and one middle income, to see whether or not their
residents would support an increase in local sales tax to pay
for more city services. The city wishes to see if there is
evidence to show that the first neighborhood (low income)
has a higher level support for the tax compared to the second
neighborhood (middle income).
You wish to test the following claim (H) at a significance
level of a = 0.01.
Ho:p₁
Ha: P1
= P2
P2
You obtain a sample from the first population with 436
successes and 321 failures. You obtain a sample from the
second population with 117 successes and 109 failures.
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate
to four decimal places.)
p-value
=
Transcribed Image Text:A city is collecting data on two neighborhoods, one low income and one middle income, to see whether or not their residents would support an increase in local sales tax to pay for more city services. The city wishes to see if there is evidence to show that the first neighborhood (low income) has a higher level support for the tax compared to the second neighborhood (middle income). You wish to test the following claim (H) at a significance level of a = 0.01. Ho:p₁ Ha: P1 = P2 P2 You obtain a sample from the first population with 436 successes and 321 failures. You obtain a sample from the second population with 117 successes and 109 failures. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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