30​% of adults in a certain country think that their taxes will be audited. In a random sample of 1200 adults in that country in a recent​ year, 26​% say they are concerned that their taxes will be audited. At α=0.10​, is there enough evidence to reject the​ center's claim? Complete parts​ (a) through​ (e) below.       Question content area bottom Part 1 ​(a) Identify the claim and state H0 and Ha.   Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. enter your response here   ​% of adults in the country think that their taxes will be audited.   B. The percentage of adults in the country who think that their taxes will be audited is not enter your response here   ​%.   C. At least 30   30​% of adults in the country think that their taxes will be audited. Your answer is correct.   D. Less than enter your response here   ​% of adults in the country think that their taxes will be audited. Part 2 Let p be the population proportion of​ successes, where a success is an adult in the country who thinks that their taxes will be audited. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.)   A. H0​: p≤enter your response here   Ha​: p>enter your response here     B. H0​: penter your response here   Ha​: p≤enter your response here     F. H0​: p=enter your response here   Ha​: p≠enter your response here

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question

6.

A research center claims that at least
30​%
of adults in a certain country think that their taxes will be audited. In a random sample of
1200
adults in that country in a recent​ year,
26​%
say they are concerned that their taxes will be audited. At
α=0.10​,
is there enough evidence to reject the​ center's claim? Complete parts​ (a) through​ (e) below.
 
 
 

Question content area bottom

Part 1
​(a) Identify the claim and state
H0
and
Ha.
 
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
enter your response here
 
​%
of adults in the country think that their taxes will be audited.
 
B.
The percentage of adults in the country who think that their taxes will be audited is not
enter your response here
 
​%.
 
C.
At least
30
 
30​%
of adults in the country think that their taxes will be audited.
Your answer is correct.
 
D.
Less than
enter your response here
 
​%
of adults in the country think that their taxes will be audited.
Part 2
Let p be the population proportion of​ successes, where a success is an adult in the country who thinks that their taxes will be audited. State
H0
and
Ha.
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
H0​:
p≤enter your response here
 
Ha​:
p>enter your response here
 
 
B.
H0​:
p<enter your response here
 
Ha​:
p≥enter your response here
 
 
C.
H0​:
p≠enter your response here
 
Ha​:
p=enter your response here
 
 
D.
H0​:
p≥enter your response here
 
Ha​:
p<enter your response here
 
 
E.
H0​:
p>enter your response here
 
Ha​:
p≤enter your response here
 
 
F.
H0​:
p=enter your response here
 
Ha​:
p≠enter your response here
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