9. A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 19.7% respectively. (Suppose the number of respondents from each state was 3000.) At a =0.05, can you support the- the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is (1). smokers in state B." the proportion of adult: Let p, and p2 be the two population proportions. State Ho and Ha Choose the correct answer below. OA Ho: P1 > P2 OC. Ho: P1 P2 O E. Ho: P1 = P2 Ha: P1 *P2 OF. Ho: P1 P2 Hg: P1 =P2 (b) Find the critical value(s) and identify the rejection region(s). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal pla Identify the rejection region(s). Choose the correct answer below. O A. z< -1.64, z>1.64 O B. z< -1.96, z>1.96 OC. z2 - 1.64 D. z> - 1.96 E. z< - 1.96 O F. z< -1.64 (c) Find the standardized test statistic. (Round to two decimal places as needed.)

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9. A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 19,.7% and 25.5%.
respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that
the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent.
Complete parts (a) through (e).
(a) Identify the claim and state Ho and Ha.
The claim is "the proportion of adults who are smokers in state A is (1).
the proportion of adults who are
smokers in state B."
Let p, and p2 be the two population proportions. State Ho and Ha:
Choose the correct answer below.
OA. Ho: P1 >P2
O B. Ho: P1 2P2
OC. Ho: P1 <P2
Ha: P1 SP2
Ha: P1 <P2
Ha: P1 2 P2
OD. Ho: P1 SP2
Ha: P1 > P2
O E. Ho: P1 = P2
Ha: P1 #P2
OF. Ho: P1 #P2
Ha: P1 = P2
(b) Find the critical value(s) and identify the rejection region(s).
Zn =
(Use a comma to separate answers as needed. Type
integer or a decimal. Round to two decimal places as needed.)
Identify the rejection region(s). Choose the correct answer below.
O A. z< - 1.64, z> 1.64
O B. z< - 1.96, z>1.96
O C. zz – 1.64
O D. z> - 1.96
O E. z< - 1.96
O F. z< - 1.64
(c) Find the standardized test statistic.
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Choose the correct answer below.
Fail to reject Ho-
Reject Ho-
(e) Interpret the decision in the context of the original claim.
Choose the correct answer below.
O A. At the 5% significance level, there is insufficient evidence to support the claim.
B. At the 5% significance level, there is insufficient evidence to reject the claim.
OC. At the 5% significance level, there is sufficient evidence to support the claim.
DD. At the 5% significance level, there is sufficient evidence to reject the claim.
Transcribed Image Text:9. A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 19,.7% and 25.5%. respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is (1). the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State Ho and Ha: Choose the correct answer below. OA. Ho: P1 >P2 O B. Ho: P1 2P2 OC. Ho: P1 <P2 Ha: P1 SP2 Ha: P1 <P2 Ha: P1 2 P2 OD. Ho: P1 SP2 Ha: P1 > P2 O E. Ho: P1 = P2 Ha: P1 #P2 OF. Ho: P1 #P2 Ha: P1 = P2 (b) Find the critical value(s) and identify the rejection region(s). Zn = (Use a comma to separate answers as needed. Type integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. z< - 1.64, z> 1.64 O B. z< - 1.96, z>1.96 O C. zz – 1.64 O D. z> - 1.96 O E. z< - 1.96 O F. z< - 1.64 (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject Ho- Reject Ho- (e) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 5% significance level, there is insufficient evidence to support the claim. B. At the 5% significance level, there is insufficient evidence to reject the claim. OC. At the 5% significance level, there is sufficient evidence to support the claim. DD. At the 5% significance level, there is sufficient evidence to reject the claim.
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