A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 18.1% and 22.6%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.01, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state H, and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and H, Choose the correct answer below. O A. Ho P12 P2 Ha P1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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D)Decide whether to reject or fail to reject the null hypothesis 

choose the correct answer below 

reject H0

fail to reject H0

 

E) interpret the decision in the context of the original claim 

A) at the 1 % significance level , there is sufficient evidence to support the claim 

b)at the 1 % significance level , there is insufficient evidence to support the claim

c)at the 1 % significance level , there is sufficient evidence to reject  the claim

d)at the 1 % significance level , there is insufficient evidence to support the claim

A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 18.1% and 22.6%, respectively (Suppose the number of
respondents from each state was 3000.) At a = 0.01, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B?
Assume the random samples are independent. Complete parts (a) through (e).
(a) Identify the claim and state Hn and H,.
The claim is "the proportion of adults who are smokers in state A is
V the proportion of adults who are smokers in state B."
Let p, and p2 ,
be the two population proportions. State H and H
Choose the correct answer below.
O C Ho P1 S P2
OB. H, Pr p2
H P P2
O A. Ho P1 P2
Ha P1 P2
%3D
Ha P1 < P2
OF Ho P1- P2
O D. Ho P1 <P2
Ha P1 P2
O E. Ho P p2
Ha P1 <P2
H P1 P2
Transcribed Image Text:A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 18.1% and 22.6%, respectively (Suppose the number of respondents from each state was 3000.) At a = 0.01, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Hn and H,. The claim is "the proportion of adults who are smokers in state A is V the proportion of adults who are smokers in state B." Let p, and p2 , be the two population proportions. State H and H Choose the correct answer below. O C Ho P1 S P2 OB. H, Pr p2 H P P2 O A. Ho P1 P2 Ha P1 P2 %3D Ha P1 < P2 OF Ho P1- P2 O D. Ho P1 <P2 Ha P1 P2 O E. Ho P p2 Ha P1 <P2 H P1 P2
es & Tests
(b) Find the critical value(s) and identify the rejection region(s).
Plan
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)
Identify the rejection region(s) Choose the correct answer below.
Its-use to review
submissions***
O A. z>2.33
O B. z<2.58
Crunch
O C. zs2.33
O D. z> 258
O E. z<-2.58, z> 2.58
OF z<-2.33, z>2.33
(c) Find the standardized test statistic.
pter Contents
(Round to two decimal places as needed)
Transcribed Image Text:es & Tests (b) Find the critical value(s) and identify the rejection region(s). Plan (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s) Choose the correct answer below. Its-use to review submissions*** O A. z>2.33 O B. z<2.58 Crunch O C. zs2.33 O D. z> 258 O E. z<-2.58, z> 2.58 OF z<-2.33, z>2.33 (c) Find the standardized test statistic. pter Contents (Round to two decimal places as needed)
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