Question

1.) Suppose that 45% of students have taken an online course. A random sample of 200 students is taken, of which 100 have taken an online course.

A.) What is the probability of obtaining a sample proportion this high or higher?

B.) There is some thought that the proportion taking online courses is no longer 45%. Based on the random sample, construct a 95% confidence interval for the proportion of students who have taken an online course.

C.) Compute the margin of error for this interval.

D.) Does the interval confirm that the interval online course rate is no longer 45%? __________ Explain in at most 2 sentences.

Answer #1

Problems 1-5: We want to know the true proportion of students
that are ok with online courses. We take a sample of 120 students,
and 72 said they are ok with online courses. We want to create a
95% confidence interval. Answer the questions below:
1) What is the point estimate for the population proportion?
2) What is the standard error?
3) What is the z score for 95% confidence?
4) What is a 95% confidence interval for this data?...

Exhibit E
Suppose a simple random sample of 150 students to study the
proportion of students who live in dormitories indicates a sample
proportion of 0.35.
Refer to Exhibit E. To construct a 95% confidence interval for
the population proportion, p, the margin of error is:

In a random sample of 1000 students, 80% were in favor of longer
hours at the school library.
What is the standard error of the sample proportion?
Calculate the margin of error. Calculate a 95% confidence
interval for proportion of students favoring longer library hours.
Interpret.

A random sample of 121 NKU students was taken to test
the proportion of students who had attended a Reds game in
2015.
95% confidence interval results:
Variable
Count
Total
Sample Prop.
Std. Err.
L. Limit
U. Limit
Reds
65
121
0.53719008
0.045328634
0.44834759
0.62603257
1. Verify that the conditions are met to construct a 95%
confidence interval for the proportion of NKU students who attended
a Reds game in 2015.
2. Construct a 95% confidence interval:
3. Interpret the...

Most musicians have different popularities among various age
groupings. In a random sample of 200 high school students, 163 said
they liked Beyoncé or her work. In a random sampling of 200 adults
aged 30 to 40, 128 of them said they liked Beyoncé or her work.
Write down the formula needed in order to create a 95%
confidence interval:
Construct a 95% confidence interval for the difference in the
proportion of students that like Beyonce or her work and...

Suppose that a random sample 80 recent graduates of students is
taken and it is found that 30 of them participated in an
undergraduate research project while at school. a) Find a 99%
confidence interval for the population proportion of students who
participate in undergraduate research while at school. b) Using the
fact that 30 out of the 80 graduates participated in undergraduate
research, how large a sample of graduates is needed to arrive at a
99% confidence interval with...

A random sample of biostatistics students will be taken to
estimate the proportion of students who were also in Calculus II.
What sample size would be necessary to propotion to within margin
of error 0.10 with 90% confidence? Suppose it is known from the
past that such propotion may be between 0.75 and 0.82. What is the
size that you need?
a. 46
b. 50
c. 45
d. 51

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...

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...

Your professor wishes to estimate the proportion of ALL high
school students enrolled in college-level courses each school year.
A sample of 1500 students revealed that 18.3% were enrolled in
college-level courses. Find the margin of error for a 95%
confidence interval for a proportion.

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