I need help with the blank ones A high school guidance counsulor has a pamphlet that says that 25% of all high school students go to a community college after graduation. In a survey of 275 randomly selected high school seniors, 87 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? If an appropriate confidence interval does not contain the sample proportion. O If an appropriate confidence interval contains 25%. If the sample proportion is different from 25%. If an appropriate confidence interval contains the sample proportion. If an appropriate confidence interval does not contain 25%. O If the sample proportion is the same as 25%. 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. The number of students in the sample who said they do not plan to go to community college, n(1 - p) = 188 students, needs to be at least 10. (100-25)% of the sample, n(1 - p) ~ 206 students, need to have said no, they do not plan to go to a community college. 25% of the sample, np ~ 69 students, needs to be at least 10. Q)25% of all high school seniors needs to be at least n = 275 The number of students in the sample who said they plan to go to community college, np - 87 students, needs to be at least 10. (100-25)% of the sample, n(1 - p) ~ 206 students, needs to be at least 10. The total population of all high school seniors needs to be more than 20n = 5, 500 O The total population of all high school seniors needs to be at least n = 275 Q)25% of the sample, np ~ 69 students, need to have said yes, they plan to go to a community college. 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. 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. Which of the following are true? Select all that apply. The sample proportion is different from the 25% shown in the pamphlet. The confidence interval we found is entirely to the left of 25%. The confidence interval we found contains 25%. The sample proportion is the same as the 25% shown in the pamphlet. The confidence interval we found is entirely to the right of 25%. Should the pamphlet be updated? O Yes, because do not have enough evidence to conclude that the population proportion is still 25%. O No, because we do not have enough evidence to conclude that the population proportion is now different from 25%. O No, because the sample proportion is equal to 25%. Yes, because we found that high school seniors are 95% confident that they will attend a community college in fall. Yes, because we are 95% confident that the population proportion is now different from 25%. No, because we are 95% confident that the population proportion is still 25%. Yes, because the sample proportion is not equal to 25%