10. A university is concerned about the proportion of students that graduate. To address the issue,...
10. A university is concerned about the proportion of students that graduate. To address the issue, it does the following. First, it gets a random sample of incoming students. Some of the students in this random sample will be required to have extra meetings with a series of advisors and some will not. It randomly decides which of the students will have this requirement and which will not. In the data, 464 of the 764 students that had this requirement graduated, and 428 of the 782 students that did not have this requirement graduated. The university wants to know if this requirement changed the proportion of students who graduate.
(a) What is the null hypothesis and what is the alternative hypothesis?
(b) What is the sample proportion for group 1? (round to 5 digits after the decimal place)
(c) What is the sample proportion for group 2? (round to 5 digits after the decimal place)
(d) What is the pooled estimator for p? (round to 5 digits after the decimal place)
(e) What is the standard error for the difference in the sample proportions? (Use ˜σp1−p2 and round to 5 digits after the decimal place.)
(f) What is the value of the test statistic? (Round to 2 digits after the decimal place.)
(g) What is the p-value of the test? (Round to 3 digits after the decimal place.)
(h) Do we reject or not reject the null hypothesis at the .05 level of significance? Reject Not reject
(i) Can we interpret the difference in the population proportions as a causal effect? Yes, it has a causal interpretation. No, it does not have a causal interpretation.
Homework Answers
Add Answer to:
10. A university is concerned about the proportion of students
that graduate. To address the issue,...
4. Suppose that 326 of the 666 observations in group 1 have a characterisitic of interest....
4. Suppose that 326 of the 666 observations in group 1 have a characterisitic of interest. And, suppose that 255 of the 570 observations in group 2 have this characterisitic. (a) What is the sample proportion for group 1? (round to 5 digits after the decimal place) (b) What is the sample proportion for group 2? (round to 5 digits after the decimal place) (c) What is the difference in the sample proportions between groups 1 and 2? (round to...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 36 women athletes at the school showed that 22 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p <...
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the...
Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 37 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 10% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p >...
QUESTION 39 {Narrative: Graduate) The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation...
QUESTION 39 {Narrative: Graduate) The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. Here are data from a Big Ten university's report: 45 of the 74 athletes admitted in a specific year graduated within 6 years. Does the proportion of athletes who graduate di ffer significantly from the all-university proportion, which is .70 ? What is the sample size O45 0 74 O 119 O 0.029 QUESTION 40 {Narrative: Graduate) The National Collegiate...
In a sample of 171 students at an Australian university that introduced the use of plagarism-detection...
In a sample of 171 students at an Australian university that
introduced the use of plagarism-detection software in a number
of
Irn a sample of 171 students at an Australian university Lidl introduced the use of plagiarism-detection suftware i a number of courses, 54 students indicated a belief thal such sotware unfairly Largels students. Dues this suggest that d midjurity of students at the university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the...
you extract a sample of 115 students from this university. The sample proportion is the proportion...
you extract a sample of 115 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is: 5. A random sample of 82 customers, who visited a department store, spent an average of $71 at this store. Suppose the standard deviation ofexpenditures at this store is σ. $19. The 98% confidence interval for the population...
1. The proportion of callers that hang up before being helped in a support center is...
1. The proportion of callers that hang up before being helped in a support center is 0.23. The company hopes that a new menu system will lower the hang-up proportion. 1000 callers were randomly selected into the new menu system. 202 of of these 1000 callers hung up before getting helped. Is the hang-up proportion for the new menu system less than 0.23? (a) What is the null hypothesis and what is the alternative hypothesis? (b) What is the value...
A paper described a survey of 497 undergraduate students at a state university in the southwestern...
A paper described a survey of 497 undergraduate students at a state university in the southwestern region of the United States. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body art category (body piercings only, tattoos only both tattoos and body piercings, no body art). Use the data in the accompanying table to determine if there is evidence that there is an association between class standing and response to the body...
A graduate student believed that, on the average, college students spend more time on the Internet...
A graduate student believed that, on the average, college students spend more time on the Internet compared to the rest of the population. She conducted a study to determine if her hypothesis was correct. The student randomly surveyed 25 students and found that the average amount of time spent on the Internet was 8.75 hours per week with a SD = 3 hours. The last census found that, on the average, people spent 11 hour per week on the Internet....
A recent study at a local college claimed that the proportion, p, of students who commute...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 275 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below Carry your intermediate computations to at...
Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 36 women athletes at the school showed that 22 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p <...
Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 37 women athletes at the school showed that 23 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 10% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p >...
QUESTION 39 {Narrative: Graduate) The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. Here are data from a Big Ten university's report: 45 of the 74 athletes admitted in a specific year graduated within 6 years. Does the proportion of athletes who graduate di ffer significantly from the all-university proportion, which is .70 ? What is the sample size O45 0 74 O 119 O 0.029 QUESTION 40 {Narrative: Graduate) The National Collegiate...
In a sample of 171 students at an Australian university that
introduced the use of plagarism-detection software in a number
of
Irn a sample of 171 students at an Australian university Lidl introduced the use of plagiarism-detection suftware i a number of courses, 54 students indicated a belief thal such sotware unfairly Largels students. Dues this suggest that d midjurity of students at the university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the...
you extract a sample of 115 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is: 5. A random sample of 82 customers, who visited a department store, spent an average of $71 at this store. Suppose the standard deviation ofexpenditures at this store is σ. $19. The 98% confidence interval for the population...
A paper described a survey of 497 undergraduate students at a state university in the southwestern region of the United States. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body art category (body piercings only, tattoos only both tattoos and body piercings, no body art). Use the data in the accompanying table to determine if there is evidence that there is an association between class standing and response to the body...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 275 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below Carry your intermediate computations to at...
Most questions answered within 3 hours.
-
Our ability to see distinct edges as well as our errors in
contrast perceptions (e.g., seeing...
asked 17 minutes ago -
Two buckets of mass 17.1 kg and 11.3 kg are attached to the ends
of a...
asked 10 minutes ago -
A laser used in LASIK eye surgery produces 50 pulses per second.
The wavelength is 192...
asked 8 minutes ago -
Smith Inc. recently reported operating income of $2.75 million,
depreciation of $1.20 million, and had a...
asked 8 minutes ago -
A
nurse is trying to understand the structure and chain of command of
a healthcare organization....
asked 11 minutes ago -
A company is interested in estimating the costs of lunch
in their cafeteria. After surveying employees,...
asked 15 minutes ago -
A woman expends 94 kJ of energy in walking a kilometer. The
energy is supplied by...
asked 26 minutes ago -
you want to measure the gravitational acceleration at your
location. since g does not vary significantly...
asked 31 minutes ago -
Aside from commercial tools that are specifically geared toward
TAR/PC( Technology-Assisted Review), are there potential
alternative...
asked 33 minutes ago -
the period of a pendulum on earth is 5 seconds. what will be the
period of...
asked 49 minutes ago -
The
act of turning media against itself, such as flash mobs and
billboard is called
a....
asked 45 minutes ago -
A set of length measurements are obtained with the values 165.6
± 0.3, 165.1± 0.4,166.4± 1.0,...
asked 46 minutes ago