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 245 better, 313 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 H: p=0.50 Ho: p ≥ 0.50 Ha: p < 0.50 Ho: p ≤ 0.50 Ha: p > 0.50 Ho: p = 0.50 H: p=0.50 Ho: p = 0.50 Ha: p = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -4.51 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0003 What is your conclusion? 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. 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. 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.

In a study researching how donating to charity can affect a person's happiness, 96 participants were given $5 a day for one week. Each participant was randomly assigned to one of two groups. Those assigned to the first group were asked to spend the money on themselves, and those assigned to the second group were asked to donate the money to charity. At the end of the week, all of the participants were asked to rate their overall level of happiness on a scale from 0 to 100, with higher scores indicating greater levels of happiness. Which of the following are the appropriate null and alternative hypotheses to test whether the sample data provide convincing statistical evidence that donating to charity results in greater happiness than spending on oneself, on average? Ho self- "charity = 0 (A) Ha self charity >0 Ho self Mcharity=0 (B) Ha self charity 0 (E) Ha self = Mcharity <0

You saw back in Chapter 2 that the mean, median, mode, and midrange are used to indicate where data is centered in a data set, or in other words what a typical value in the set is. A question that is often asked is, "If they're all supposed to do the same thing, why is there more than one?" Isn't one enough? In this exercise, you will be given two small sets of data. For each set, a. find the mean, median, mode and midrange b. in your opinion, decide which of the measures BEST represents all the values in the set (best indicates a typical value), and which one does this the WORST. c. post your responses and justify them by explaining why Don't forget to respond to at least one of your classmate's posts. With this exercise, "more is better." I'll elaborate after the deadline. • Set A: the salaries of 10 employees at a company (in thousands of dollars): 50, 50, 50, 50, 50, 50, 50, 50, 50, 500 • Set B: the grades of 9 students on an exam: 20, 25, 30, 35, 40, 45, 100, 100, 100

Researchers have postulated that, due to differences in diet, Japanese children have a lower proportion of children with high blood cholesterol levels than U.S. children. Suppose that the proportion of high blood cholesterol level of U.S. children is known to be 0.78. Ho: ??: