Which of these facts would tell us that the pamphlet needs to be updated? If an appropriate confidence interval contains 35%. If the sample proportion is different from 35%. If an appropriate confidence interval contains the sample proportion. If the sample proportion is the same as 35%. If an appropriate confidence interval does not contain 35%. If an appropriate confidence interval does not contain 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. The number of students in the sample who said they plan to go to community college, nˆp=56np^=56 students, needs to be at least 10. 35% of the sample, np≈44np≈44 students, needs to be at least 10. (100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, need to have said no, they do not plan to go to a community college. The number of students in the sample who said they do not plan to go to community college, n(1−ˆp)=69n(1-p^)=69 students, needs to be at least 10. (100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, needs to be at least 10. The total population of all high school seniors needs to be more than 20n=2,50020n=2,500 35% of the sample, np≈44np≈44 students, need to have said yes, they plan to go to a community college. The total population of all high school seniors needs to be at least n=125n=125 35% of all high school seniors needs to be at least n=125n=125 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 confidence interval we found contains 35%. The sample proportion is the same as the 35% shown in the pamphlet. The confidence interval we found is entirely to the left of 35%. The sample proportion is different from the 35% shown in the pamphlet. The confidence interval we found is entirely to the right of 35%. Should the pamphlet be updated? Yes, because the sample proportion is not equal to 35%. Yes, because we are 95% confident that the population proportion is now different from 35%. No, because we are 95% confident that the population proportion is still 35%. No, because we do not have enough evidence to conclude that the population proportion is now different from 35%. Yes, because do not have enough evidence to conclude that the population proportion is still 35%. Yes, because we found that high school seniors are 95% confident that they will attend a community college in fall. No, because the sample proportion is equal to 35%

Which of these facts would tell us that the pamphlet needs to be updated? If an appropriate confidence interval contains 35%. If the sample proportion is different from 35%. If an appropriate confidence interval contains the sample proportion. If the sample proportion is the same as 35%. If an appropriate confidence interval does not contain 35%. If an appropriate confidence interval does not contain 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. The number of students in the sample who said they plan to go to community college, nˆp=56np^=56 students, needs to be at least 10. 35% of the sample, np≈44np≈44 students, needs to be at least 10. (100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, need to have said no, they do not plan to go to a community college. The number of students in the sample who said they do not plan to go to community college, n(1−ˆp)=69n(1-p^)=69 students, needs to be at least 10. (100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, needs to be at least 10. The total population of all high school seniors needs to be more than 20n=2,50020n=2,500 35% of the sample, np≈44np≈44 students, need to have said yes, they plan to go to a community college. The total population of all high school seniors needs to be at least n=125n=125 35% of all high school seniors needs to be at least n=125n=125 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 confidence interval we found contains 35%. The sample proportion is the same as the 35% shown in the pamphlet. The confidence interval we found is entirely to the left of 35%. The sample proportion is different from the 35% shown in the pamphlet. The confidence interval we found is entirely to the right of 35%. Should the pamphlet be updated? Yes, because the sample proportion is not equal to 35%. Yes, because we are 95% confident that the population proportion is now different from 35%. No, because we are 95% confident that the population proportion is still 35%. No, because we do not have enough evidence to conclude that the population proportion is now different from 35%. Yes, because do not have enough evidence to conclude that the population proportion is still 35%. Yes, because we found that high school seniors are 95% confident that they will attend a community college in fall. No, because the sample proportion is equal to 35%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Question

A high school guidance counsulor has a pamphlet that says that 35% of all high school students go to a community college after graduation. In a survey of 125 randomly selected high school seniors, 56 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 contains 35%.
If the sample proportion is different from 35%.
If an appropriate confidence interval contains the sample proportion.
If the sample proportion is the same as 35%.
If an appropriate confidence interval does not contain 35%.
If an appropriate confidence interval does not contain 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.

The number of students in the sample who said they plan to go to community college, nˆp=56np^=56 students, needs to be at least 10.
35% of the sample, np≈44np≈44 students, needs to be at least 10.
(100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, need to have said no, they do not plan to go to a community college.
The number of students in the sample who said they do not plan to go to community college, n(1−ˆp)=69n(1-p^)=69 students, needs to be at least 10.
(100-35)% of the sample, n(1−p)≈81n(1-p)≈81 students, needs to be at least 10.
The total population of all high school seniors needs to be more than 20n=2,50020n=2,500
35% of the sample, np≈44np≈44 students, need to have said yes, they plan to go to a community college.
The total population of all high school seniors needs to be at least n=125n=125
35% of all high school seniors needs to be at least n=125n=125

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 confidence interval we found contains 35%.
The sample proportion is the same as the 35% shown in the pamphlet.
The confidence interval we found is entirely to the left of 35%.
The sample proportion is different from the 35% shown in the pamphlet.
The confidence interval we found is entirely to the right of 35%.

Should the pamphlet be updated?

Yes, because the sample proportion is not equal to 35%.
Yes, because we are 95% confident that the population proportion is now different from 35%.
No, because we are 95% confident that the population proportion is still 35%.
No, because we do not have enough evidence to conclude that the population proportion is now different from 35%.
Yes, because do not have enough evidence to conclude that the population proportion is still 35%.
Yes, because we found that high school seniors are 95% confident that they will attend a community college in fall.
No, because the sample proportion is equal to 35%.

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