Question

12. Suppose that at a certain university, 65% of students live on campus. A professor performs...

12. Suppose that at a certain university, 65% of students live on campus. A professor performs a poll on her Statistics class of 120 students. What is the probability that the proportion of students in her class who live on campus will be between 65 and 70%?

Homework Answers

Answer #1

Solution

Given that,

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 120

= p = 0.65

=  [p ( 1 - p ) / n] = [(0.65 * 0.35) / 120 ] = 0.0435

P( 0.65 <   < 0.70 )

= P[(0.65 - 0.65) /0.0435 < ( - ) / < (0.70 - 0.65) / 0.0435 ]

= P(0 < z < 1.15)

= P(z < 1.15) - P(z < 0)

Using z table,   

= 0.8749 - 0.5

= 0.3749

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
70% of students at a university live on campus. A random sample found that 31 of...
70% of students at a university live on campus. A random sample found that 31 of 50 male students and 41 of 55 of female students lived on campus. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of male students who live on campus and the proportion of female students who live on campus?
The dean of a statistics department in a certain university believes that 65% of the department’s...
The dean of a statistics department in a certain university believes that 65% of the department’s graduate positions are given to international students. A random sample of 64 graduate assistants is taken. What is the probability that the sample proportion of graduate assistants who are international students will be between 0.6 and 0.75?
50 percent of the students at a certain university live in university housing. What is the...
50 percent of the students at a certain university live in university housing. What is the probability that in a random sample of 100 students, between 40 and 60 live in university housing?
the dean of student life at Gonzaga University reported recently that 0.75 of all Gonzaga students...
the dean of student life at Gonzaga University reported recently that 0.75 of all Gonzaga students live on campus. Gus Spencer, a psychology professor at Gonzaga, has selected a random sample of 75 students for a behavior study.a. Calculate the standard error of the proportion. b. What is the probability the proportion of students in Gus’s study who live on campus is no greater than0.72?
It has been seen that the mean grade point average for students who live on campus...
It has been seen that the mean grade point average for students who live on campus is 2.73 with standard deviation of 0.44, while that of students who live off campus is 2.48 with standard deviation of 0.67. 12 sophomores are randomly selected from campus dormitories at a college and 20 sophomores are randomly selected from students who live off campus. The mean grade point averages of the two groups are compared. a)The expected difference in the sample grade point...
A survey of 200 students is selected randomly on a large university campus. They are asked...
A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. Suppose that based on the​ survey, 120 of the 200 students responded​ "yes." ​a) What is the value of the sample proportion ModifyingAbove p with caret​? ​b) What is the standard error of the sample​ proportion? ​c) Construct an approximate 95​% confidence interval for the true proportion p by taking plus or minus 2...
7. A survey of 300 students is selected randomly on a large university campus. They are...
7. A survey of 300 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. Suppose that based on the ​survey, 120 of the 300 students responded​ "yes." ​a) What is the value of the sample proportion p (with the ^ on top of p)? ​b) What is the standard error of the sample​ proportion? c) ​c) Construct an approximate 95​% confidence interval for the true proportion p...
please show all work: 68% of students at a university live on campus. A random sample...
please show all work: 68% of students at a university live on campus. A random sample found that 23 of 45 male students and 42 of 55 of female students live on campus. At the 0.05 level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of male and female students who live on campus? Evaluate using EITHER a Traditional or P-value Hypothesis Test (your choice.) * If using Traditional - draw...
In a large university, statistics show that 75% of students live in dormitories. Thus, for any...
In a large university, statistics show that 75% of students live in dormitories. Thus, for any student chosen at random, the university administration estimates a probability of 0.75 that the student will live in dormitories. A random sample of 5 students is selected. Answer the following questions. 1.What is the probability that the sample contains exactly 3 students who live in the dormitories? 2.What is the probability that fewer than 2 students live in the dormitories? 3.What is the expected...
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