Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in Californi was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) + Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%. O There is not sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68%
also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California
was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time
faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents California. NOTE: For more accurate results,
use more California community colleges and this past year's data.
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally
distributed. (In general, you must first prove that assumption, though.)
Part (a)
+ Part (b)
Part (c)
Part (d)
Part (e)
+ Part (f)
Part (g)
Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
(ii) Decision:
O reject the null hypothesis
O do not reject the null hypothesis
(iii) Reason for decision:
O Since a < p-value, we do not reject the null hypothesis.
Since a < p-value, we reject the null hypothesis.
Since a > p-value, we reject the null hypothesis.
O Since a > p-value, we do not reject the null hypothesis.
(iv) Conclusion:
There is sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not
equal to 68%.
O There is not sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not
equal to 68%.
Transcribed Image Text:Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) + Part (b) Part (c) Part (d) Part (e) + Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%. O There is not sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman