What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n= 52 college students were surveyed and r= 8of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use? =0.05.
What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n= 52 college students were surveyed and r= 8of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use? =0.05.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
What is your favorite color? A large survey of
countries, including the United States, China,
Russia, France, Turkey, Kenya, and others,
indicated that most people prefer the color blue. In
fact, about 24% of the population claim blue as
their favorite color.† Suppose a random sample of
n= 52 college students were surveyed and r= 8of
them said that blue is their favorite color. Does this
information imply that the color preference of all
college students is different (either way) from that
of the general population? Use? =0.05.
Transcribed Image Text:O Ho: P = 0.24; H₁: p > 0.24
O Ho: P = 0.24; H₁: p = 0.24
(b) What sampling distribution will you use?
The standard normal, since np > 5 and nq > 5.
O The Student's t, since np < 5 and nq < 5.
O The Student's t, since np > 5 and nq > 5.
O The standard normal, since np < 5 and nq < 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
0-3 -2
0-3
-2
-1
-1
0
0
1
1
2
2
3
3
0-3 -2
0-3
-2
-1
-1
0
0
1
2
3
Transcribed Image Text:0-3
-3
-2
-2
-1
-1
0
0
1 2
1
2
3
0-3
-2
-2
-1
0
0
1
2
2
3
At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
3
0-3
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring the color blue differs from 0.2
O There is insufficient evidence at the 0.05 level to conclude that the true proportion of college students favoring the color blue differs from
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman