You may need to use the appropriate appendix table or technology to answer this question. In a recent poll 600 adults were asked a series of questions about the state of the economy and their children's future. One question was, "do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" Suppose the responses showed 244 better, 314 worse, and 42 about the same. Use the sign test and α = 0.05 to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) Ho: p = = 0.50 Hap = 0.50 Hoi p<0.50 Ha p = 0.50 Ho: p = 0.50 Hp=0.50 Hoips 0.50 Hip > 0.50 a Hip ≥ 0.50 H: p<0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Ho There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life.