Question

In a survey of 800 college students in the United States, 624 indicated that they believe...

In a survey of 800 college students in the United States, 624 indicated that they believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action. Assuming that the sample is representative of college students in the United States, construct a 95% confidence interval for the proportion of college students who have this belief. (Use a table or technology. Round your answers to three decimal places.)

( ,    )

Interpret the interval.

We are 95% confident that the true proportion of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls within this interval.

There is a 95% chance that the true proportion of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls within this interval.   

We are 95% confident that the mean number of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls within this interval.

There is a 95% chance that the true proportion of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls directly in the middle of this interval.

We are 95% confident that the true proportion of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls directly in the middle of this interval.

Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 624 / 800 = 0.78

1 - = 1 - 0.78 = 0.22

Z/2 = Z0.025 = 1.96

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.96 (((0.78 * 0.22) / 800)

= 0.029

A 95% confidence interval for population proportion p is ,

± E  

= 0.78  ± 0.029

= ( 0.751, 0.809 )

We are 95% confident that the true proportion of U.S. college students who believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action falls within this interval.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a survey of 800 college students in the United States, 632 indicated that they believe...
In a survey of 800 college students in the United States, 632 indicated that they believe that a student or faculty member on campus who uses language considered racist, sexist, homophobic, or offensive should be subject to disciplinary action. Assuming that the sample is representative of college students in the United States, construct a 95% confidence interval for the proportion of college students who have this belief. (Use a table or technology. Round your answers to three decimal places.)
A survey is conducted at a college with 700 ​students, 150 faculty​ members, and 200 administrators....
A survey is conducted at a college with 700 ​students, 150 faculty​ members, and 200 administrators. Each of these 1050 individuals has a single email address listed in the online campus directory. Suppose one email address was selected at random. What is the probability it would be​ (a) a​ student, (b) a faculty​ member, (c) an​ administrator, (d) a faculty member or​ administrator, and​ (e) anyone except an​ administrator? (f) Explain your answers to someone who has never had a...
Does anyone still believe the earth is flat? To answer this, a random sample of 55...
Does anyone still believe the earth is flat? To answer this, a random sample of 55 U.S. adults were asked if they believe the earth is flat. Based on the results of the survey, a 95% confidence interval is (0.124, 0.348). (a) What is the estimate of the proportion of all U.S. adults that believe the earth is flat?   (b) Interpret the confidence interval: We are 95% confident the proportion of all U.S. adults that believe the earth is flat...
Suppose you want to estimate the proportion of traditional college students on your campus who own...
Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research on other college​ campuses, you believe the proportion will be near 30​%. What sample size is needed if you wish to be 98​% confident that your estimate is within 0.02 of the true​ proportion?
Suppose you want to estimate the proportion of traditional college students on your campus who own...
Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research on other college​ campuses, you believe the proportion will be near 25​%. What sample size is needed if you wish to be 90​% confident that your estimate is within 0.02 of the true​ proportion?
Suppose you want to estimate the proportion of traditional college students on your campus who own...
Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research on other college​ campuses, you believe the proportion will be near 25​%. What sample size is needed if you wish to be 90​% confident that your estimate is within 0.02 of the true​ proportion?
12. Suppose you want to estimate the proportion of traditional college students on your campus who...
12. Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research on other college​ campuses, you believe the proportion will be near 25​%. What sample size is needed if you wish to be 90​% confident that your estimate is within 0.02 of the true​ proportion? A sample size of _____ is needed.
2). A survey conducted by Sallie Mae of 700 college students found that 323 students paid...
2). A survey conducted by Sallie Mae of 700 college students found that 323 students paid for their education by student loans. a) Find the best point estimate for the true proportion: ______________ b) Find the 95% confidence of the true proportion of students who paid for their education by student loans. __________________________ c) The Department of Education in State of Louisiana believes that the proportion of students that pay for their education using student loans is around 75%. Based...
In a recent survey of 100 college students, 49% had received the HPV vaccine. Construct a...
In a recent survey of 100 college students, 49% had received the HPV vaccine. Construct a 99% confidence interval for the proportion of college students who have received the vaccine. - Report the interval as a complete sentence in the context of the problem. - Would a 95% confidence interval be narrower or wider? Why? - Is it possible that the true proportion of vaccinate college students is over 50%? Why or why not?
In a simple random sample of 500 freshman students, 276 of them live on campus. You...
In a simple random sample of 500 freshman students, 276 of them live on campus. You want to claim that majority of college freshman students in US live on campus. A) Are the assumptions for making a 95% confidence interval for the true proportion of all college freshman students in the United States who live on campus satisfied? yes/no? B) What is the sample proportion? C.) A 95% confidence interval for the actual proportion of college freshman students in the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT