A high school guidance counselor has a pamphlet that says that 40% of all high school students go to a community college after graduation. In a survey of 150 randomly selected high school seniors, ?0 replied that they planned to go to a community college in the fall. Use a 95% confidence interval to test and see if the pamphlet needs updating. Which of these facts would tell us that the pamphlet needs to be updated? 0 If an appropriate confidence interval does not contain 40%. D If an appropriate confidence interval does not contain the sample proportion. D If the sample proportion is different from 4096. 0 If an appropriate confidence interval contains 40%. D If the sample proportion is the same as 40%. D If an appropriate confidence interval contains the sample proportion. In order to use a confidence interval to test whether the pamphlet needs to be updated, what conditions must be checked? Select all that apply. :1 The number of students in the sample who said they plan to go to community college, n13 = 70 students, needs to be at least 10. :l The total population of all high school seniors needs to be more than 20!]. = 3., 000 j 40% of the sample, up E El] students, needs to be at least 10. j The total population of all high school seniors needs to be at least in. = 150 :l 40% of the sample, up E 5|] students, need to have said yes, they plan to go to a community college. :1 The number of students in the sample who said they do not plan to go to community college, 11(1 13] = 30 students, needs to be at least 10. j 40% of all high school seniors needs to be at least it = 150 :] {100-40136 of the sample, 11(1 p} m 90 students, need to have said no, they do not plan to go to a community college. j {MD-40:96 of the sample, n{1 p) m 9|] students, needs to be at least 10. What proportion of high school students surveyed plan to go to a community college in the fall? Round your answer to the nearest tenth of a percent. I: Based on this sample, use your calculator to construct a 95% confidence interval for the proportion of all high school seniors who plan to go to a community college in fall. Round your answers to the nearest tenth of a percent. %,[ 96] Which of the following are true? Select all that apply. CI The sample proportion is the same as the 4096 shown in the pamphlet. CI The confidence interval we found is entirely to the left of 40%. CI The sample proportion is different from the 49% shown in the pamphlet. C] The confidence interval we found is entirely to the right of 40%. CI The confidence interval we found contains 40%. Should the pamphlet be updated? 0 Yes, because the sample proportion is not equal to 40%. O No, because we do not have enough evidence to conclude that the population proportion is now different from 40%. C' Yes, because do not have enough evidence to conclude that the population proportion is still 40%. C' No, because the sample proportion is equal to 40%. O No, because we are 95% confident that the population proportion is still 40%. 0' Yes, because we found that high school seniors are 95% confident that they will attend a community college in fall. 0 Yes, because we are 95% confident that the population proportion is now different from 40%