Business stats

A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 17.7% and 20,8%, 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 the proportion of adults who are smokers in state B." Let p, and p, be the two population proportions. State Ho and H. Choose the correct answer below. OA Ho P1 > P2 O B. Ho P1 # P2 O C. Ho: P, SP2 H. P1 SP2 Ha: P1 = P2 H2: P1 > P2 OD. Ho P1 2 P2 O E. Ho P1 = P2 OF. HO P1 1.96 OB. 2 1.64 OD. 72 - 1.64 OE Z - 1.96 (c) Find the standardized test statistic. 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. Reject Ho Fail to 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 reject the claim. B. At the 5% significance level, there is sufficient evidence to reject the claim O C. At the 5% significance level, there is insufficient evidence to support the claim. O D. At the 5% significance level, there is sufficient evidence to support the claim