1 Two hundred twenty-eight of the 348 high school students surveyed at a local school say they plan on taking some form of postsecondary education. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 68%? Justify your answer.

Which ufthe following experiments could be used to simulate an event in which the pmbabiity of success, P(success), is 0.60 and the numberof successes out of 2|) events is desired? 0 Use a spinner that is divided into ve equal parts, Choose three colors for successful; the other two colors represent unsuccessful, Spin the spinner 20 times, once for each event 0 Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful Choose 20 digits, one for each event, 0 Count out 55 yellow beads and 35 pink beads. Select 20 ofthese heads at random. Let a yellow bead represent successml and a pink bead represent unsuccessful. Two hundred twentyeight orthe 348 high smool students surveyed at a local school say they plan on taking some form of postsemndary education, Calculate the margin of error (ME), rounded to the nearest tenth of a percent Is it reasonable that the stale education department claims the percentage forthe entire slate is 58%? Justify your answer. Hint ME = :2 _ 1 {MIN , where 13 is the yes pmportinn in the sample and N is the sample size 0 Yes, ills reasonable because the ME is 5.1% and the population proportion of 55% falls Wilhin the sample interval 0165.596: t 5.1% is not reasonable because the ME is 15% and the population p ortion Df 58% falls outside the 5am nterval of 655% t 25% 0 Yes, it is reasonable because the ME i5 56% and the population proportion of 55% falls within the sample interval of 630% t 66% O No, it is not reasonable because the ME is 51% and the population proportion of 58% falls outside the sample interval of 655% t 51% A scientist has a hypothesis that, as the temperature rises (to a maximum of 95\"F), the proportion of people diagnosed with a certain stress disorder decreases. He nds that at an outside temperature level x1 = 30F, the proporlion diagnosed is 1'5 : 0.09. Attemperature level x; = 35"F. the proportion diagnosed is : 0. 10. At temperature level X3 = 90"F, the proportion diagnosed is : 0.14. Should the hypothesis be rejected or should it be accepted? Why? 0 Rejected, because the data do not support the hypothesis that, as the temperature increases, the proportion of people diagnosed with a certain stress disorder decreases OAccepted, because this is an experimental study, and the hypothesis is always confrmed in this form of study 0 Rejected, because one ofthe limits of an experimental study such as this isthat causation cannot be made between the variables OAccepted, because the proportion of people diagnosed with a certain stress disorder decreases as the temperature increases