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A state-by-state survey found that the pro tions of adults who are smokers i state A and state were 21.0% and 25 2% especie y Suppose the number ofrespondents om each gate was 3000 At α=0.05, can you su port the e aim that the proportion of adults wh are smokers greater in state A than in staa B? Assumǚ the random sample; ara indapan dant. Com late parts (a) through (e). (a) Identify the daim and state HandH The daim is the proportion of aduts who are smokers in state A is Lat p1 and P2 be he two population proportions. State Ho and H Choose the comect answer below the proportion of adults who are smokers in state B Ha: P1 P2 H P1 *P2 H: P1 P2 (b) Find the critical value) and idanity the rejection regionr) (Use a comma to separate answers asneeded. Type an integer or a decimal. Round to two decimal places as needed.)Identify the rejection region(s). Choose the correct answer below OA. z<-1.06, Oc. zs1.64 O E. z>1.98 (c) Find the standardized test statistic. z> 1.96 B. z<1.96 OD. z<-1.04, z>1.64 OF. z> 1.64 z(Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. OFail to reject Ho OReject Ho (e) Interpret the decision in the context of the original clainm Choose the correct answer below A. At the 5% significance level, there is insufficient evidence to support the claim. B. At the 5% significance level, there is sufficient evidence to reject the claim. ° C. At the 5% significance level, there is insufficient evidence to reject the claim. D. At the 5% significance level, there is sufficient evidence to support the claim.

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