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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 =

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 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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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.
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