Question
In: Statistics and Probability
Out of a sample of 480 faculty from public community colleges, 259 were women (p1) ....
Out of a sample of 480 faculty from public community colleges, 259 were women (p1) . Out of a sample of 620 faculty from public bachelor’s institutions, 279 were women (p2) . (Data simulated from Faculty Pay 2006-2007, 2008). Determine a 90% confidence interval for the difference in proportions of women among public community colleges and public bachelor’s institutions.
a. Are the criteria for normality met? Justify your answer.
b. Compute the sample proportions of female faculty from both public community colleges and public bachelor’s institutions.
c. Estimate the standard error of differences between these sample proportions.
d. Compute the margin of error at the 90% confidence level.
e. Compute the difference of the sample proportions (p1−p2).
f. Compute the 90% confidence interval.
g. Interpret your confidence interval in the context of the problem.
Solutions
orchestra answered 1 year agoRelated Solutions
16 out of 151 randomly selected faculty members who were surveyed at a community college know...
16 out of 151 randomly selected faculty members who were
surveyed at a community college know sign language. What would be a
90% confidence interval for the proportion of all faculty members
at the community college who know sign language? (Round to three
decimal places and enter the interval in the format (lower bound,
upper bound).)
In a particular year, 68% of online courses taught at a system of community colleges were...
In a particular year, 68% of online courses taught at a system
of community colleges were taught by full-time faculty. To test if
68% also represents a particular state's percent for full-time
faculty teaching the online classes, a particular community college
from that state was randomly selected for comparison. In that same
year, 31 of the 44 online courses at this particular community
college were taught by full-time faculty. Conduct a hypothesis test
at the 5% level to determine if...
In a particular year, 68% of online courses taught at a system of community colleges were...
In a particular year, 68% of online courses taught at a system
of community colleges were taught by full-time faculty. To test if
68% also represents a particular state's percent for full-time
faculty teaching the online classes, a particular community college
from that state was randomly selected for comparison. In that same
year, 33 of the 44 online courses at this particular community
college were taught by full-time faculty. Conduct a hypothesis test
at the 5% level to determine if...
In a particular year, 68% of online courses taught at a system of community colleges were...
In a particular year, 68% of online courses taught at a
system of community colleges were taught by full-time faculty. To
test if 68% also represents a particular state's percent for
full-time faculty teaching the online classes, a particular
community college from that state was randomly selected for
comparison. In that same year, 31 of the 44 online courses at this
particular community college were taught by full-time faculty.
Conduct a hypothesis test at the 5% level to determine if...
In a particular year, 68% of online courses taught at a system of community colleges were...
In a particular year, 68% of online courses taught at a system
of community colleges were taught by full-time faculty. To test if
68% also represents a particular state's percent for full-time
faculty teaching the online classes, a particular community college
from that state was randomly selected for comparison. In that same
year, 31 of the 44 online courses at this particular community
college were taught by full-time faculty. Conduct a hypothesis test
at the 5% level to determine if...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
97
99
74
73
92
63
59
95
Women
60
83
72
49
45
53
61
66
61
95
58
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw = 3
H1: μm - μw ≠
3
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
94
97
66
54
80
59
83
45
Women
57
56
48
98
84
55
70
94
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ -4
H1: μm - μw
> -4
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?
Reject H0 in...
An article investigated the consumption of caffeine among women. A sample of 52 women were asked...
An article investigated the consumption of caffeine among women.
A sample of 52 women were asked to monitor their caffeine intake
over the course of one day. The mean amount of caffeine consumed in
the sample of women was 226.553 mg with a standard deviation of
229.462 mg. In the article, researchers would like to include a 99%
confidence interval.
The values below are t critical point corresponding to 90%,
95%, 98%, and 99% confidence. Which critical point corresponds...
An article investigated the consumption of caffeine among women. A sample of 43 women were asked...
An article investigated the consumption of caffeine among women.
A sample of 43 women were asked to monitor their caffeine intake
over the course of one day. The mean amount of caffeine consumed in
the sample of women was 243.872 mg with a standard deviation of
209.05 mg. In the article, researchers would like to include a 90%
confidence interval.
The values below are t critical point corresponding to 90%,
95%, 98%, and 99% confidence. Which critical point corresponds...
A random sample of 100 Ohio businesses showed that 34 were owned by women. A sample...
A random sample of 100 Ohio businesses showed that 34 were owned
by women. A sample of 200 New Jersey businesses showed that 64 were
owned by women. Construct a 90% confidence interval for the
difference in proportions of women-owned business in the two
states. Use u(Ohio - u(New Jersey)
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Question: what is the difference between rights of assertion and observation assertion. Include which financial statements...
- how to read a csv file in php and make a html table? I can't use...
- ABC Inc. is evaluating a project that will increase annual sales by $230,000 and annual cash...
- Identify the behavior, values, and consumption patterns from people in New York City versus Milan Italy.
- A stock has a required return of 10%, the risk-free rate is 4.5%, and the market...
- How do the media options available to advertisers vary in different parts of the world? (Choose...
- Charming Paper Company sells to the 12 accounts listed here. Account Receivable Balance Outstanding Average...
ADVERTISEMENT