A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim thatthe 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 isthe proportion of adults who are smokers in state B."Let p, and p2 be the two population proportions. State H, and Ha.Choose the correct answer below.O A. Ho: P1 = P2Hạ: P1 # P2O B. Ho: P1 < P2Ha: P1 2 P2O C. Ho: P1 # P2Ha: P1 = P2O E. Ho: P1 > P2Ha: P1 SP2D. Ho: P1 sP2F. Ho: P1 2 P2Ha: P1 > P2Ha: P1 1.96ОС. z2 -1.64D. z< - 1.64, z> 1.64E. z< - 1.64O F. z> - 1.96(c) Find the standardized test statistic. A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim thatthe 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)......identity the rejection region(s). Choose the correct answer pelow.O A. z< - 1.96B. z< - 1.96, z> 1.96C. z2 - 1.64D. z< - 1.64, z> 1.64O E. z< - 1.64O F. z> - 1.96(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 reject the claim.B. At the 5% significance level, there is insufficient evidence to support the claim.C. At the 5% significance level, there is sufficient evidence to support the claim.O D. At the 5% significance level, there is sufficient evidence to reject the claim.

There are two independent samples which are state A and state B. We have to test whether the proportion of adults who are smokers is lower in state A than in state B or not. This is z-test for two-proportions with left-tailed.The claim is “the proportion of adults who are smokers in state A is lower than the proportion of adults who are smokers in state B”. The null and alternative hypotheses areThe critical value is -1.64. Rejection region: (E). z < -1.64.The value of the test statistic is z = 3.42.Since z (=3.42) > -1.64, then fail to reject the null hypothesis. (d). Fail to reject H0. (e). B. At the 5% significance level, there is insufficient evidence to support the claim.