An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: African American Frequency: 69 USE SALT Asian Caucasian 11 O Ho: P₁ P₂ P₂ - P4 -0.250 H.: at least one p, # 0.25 330 State the appropriate hypotheses. Ho: P₁0.177, P₂0.020, P₂0.734, P4 - 0.069 H.: at least one p₁ * Pio In a recent census, the proportions for these four ethnic groups are 0.177, 0.020, 0.734, and 0.069, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P₁, P₂, P3, and P4 be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) Ho: P₁0.165, P₂0.026, P3 -0.791, P4 -0.017 H₂: at least one p₁ = Pio Hispanic Ho: P₁0.069, P₂0.011, P₂0.330, P4 -0.007 H₂: at least one p₁ = Pio 7 Calculate the test statistic. (Round your answer to two decimal places.) x² =

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
An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations.
Ethnicity:
Frequency:
African
American
69
USE SALT
Asian Caucasian
11
O Ho: P₁ = P₂ = P3 = P4 = 0.250
H₂: at least one p, # 0.25
330
State the appropriate hypotheses.
O Ho: P₁ = 0.177, P₂ = 0.020, P3 = 0.734, P4 = 0.069
H₂: at least one p; # Pio
In a recent census, the proportions for these four ethnic groups are 0.177, 0.020, 0.734, and 0.069, respectively. Does the data suggest that the proportions in commercials are different from the census
proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P₁, P₂, P3, and P4 be the population proportions of the four ethnic groups (African American, Asian, Caucasian,
and Hispanic respectively) appearing in commercials on Philadelphia television stations.)
O Ho: P₁ = 0.165, P₂ = 0.026, P = 0.791, P4 = 0.017
H₂: at least one p; * Pio
Hispanic
Ho: P₁ = 0.069, P₂ = 0.011, P3 -0.330, P4 = 0.007
H₂: at least one p; * Pio
7
Calculate the test statistic. (Round your answer to two decimal places.)
x² =
Transcribed Image Text:An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: Frequency: African American 69 USE SALT Asian Caucasian 11 O Ho: P₁ = P₂ = P3 = P4 = 0.250 H₂: at least one p, # 0.25 330 State the appropriate hypotheses. O Ho: P₁ = 0.177, P₂ = 0.020, P3 = 0.734, P4 = 0.069 H₂: at least one p; # Pio In a recent census, the proportions for these four ethnic groups are 0.177, 0.020, 0.734, and 0.069, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P₁, P₂, P3, and P4 be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) O Ho: P₁ = 0.165, P₂ = 0.026, P = 0.791, P4 = 0.017 H₂: at least one p; * Pio Hispanic Ho: P₁ = 0.069, P₂ = 0.011, P3 -0.330, P4 = 0.007 H₂: at least one p; * Pio 7 Calculate the test statistic. (Round your answer to two decimal places.) x² =
What can be said about the P-value for the test?
O P-value < 0.005
0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
0.05 < P-value < 0.10
O P-value > 0.10
State the conclusion in the problem context.
Reject Ho. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions.
Fail to reject H. There is enough evidence to conclude that at least one of the racial proportions in commercials is a match to the census proportions.
Fail to reject H. There is enough evidence to conclude that all of the racial proportions in commercials are a match to the census proportions.
Reject Ho. There is enough evidence to conclude that at least one of the racial proportions in commercials is not a match to the census proportions.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:What can be said about the P-value for the test? O P-value < 0.005 0.005 < P-value < 0.01 0.01 < P-value < 0.025 0.025 < P-value < 0.05 0.05 < P-value < 0.10 O P-value > 0.10 State the conclusion in the problem context. Reject Ho. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions. Fail to reject H. There is enough evidence to conclude that at least one of the racial proportions in commercials is a match to the census proportions. Fail to reject H. There is enough evidence to conclude that all of the racial proportions in commercials are a match to the census proportions. Reject Ho. There is enough evidence to conclude that at least one of the racial proportions in commercials is not a match to the census proportions. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE 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