Ethnicity: African American Frequency: 47 LAUSE SALT Asian Caucasian 11 HP₁ P₂ P₂P,-0.250 H, at least one p, = 0.25 330 the appropriate hypotheses. H: P₁0.047, p₂0.011, p, 0.330, p = 0.005 H: at least one p,*P ecent census, the proportions for these four ethnic groups are 0.177, 0.042, 0.734, and 0.047, 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 P. and p be the populati rtions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) H: P = 0.120. p, = 0.028, p = 0.840, p = 0.013 H,: at least one p, * P 0.042, p=0.734, p = 0.047 P Hispanic can be said about the P-value for the test? 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 P-value> 0.10 5 H: P₁0.177, P₂ H: at least one p, late the test statistic. (Round your answer to two decimal places.) the conclusion in the problem context. 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. 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. Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions. Reject H. There is enough evidence to conclude that at least one of the racial proportions in commercials is not a match to the census proportions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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
USE SALT
Calculate th
x² = |
OHP₁ P₂P, P = 0.250
H₁: at least one p, = 0.25
Asian
In a recent census, the proportions for these four ethnic groups are 0.177, 0.042, 0.734, and 0.047, 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 P P₂P and p be the population
proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.)
State the appropriate hypotheses.
O H₂: P₁ = 0.047, P₂ -0.011, p = 0.330, p = 0.005
H: at least one p, P
Caucasian Hispanic
330
OH: P₁ = 0.120, P, = 0.028, p = 0.840, p = 0.013
H: at least one p, * P
OH₂: P₁ = 0.177, P₂ = 0.042, P₂=0.734, p = 0.047
H₂: at least one p, P
What can be said about the P-value for the test?
OP-value < 0.005
O 0.005 < P-value < 0.01
O 0.01 < P-value < 0.025
O 0.025 < P-value < 0.05
O 0.05 P-value 0.10
OP-value> 0.10
the test statistic. (Round your answer to tivo decimal places.)
5
State the conclusion in the problem context.
O 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.
O 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.
O Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions.
Reject H. There is enough evidence to conclude that at least one of the racial proportions in commercials is not a match to the census proportions.
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 USE SALT Calculate th x² = | OHP₁ P₂P, P = 0.250 H₁: at least one p, = 0.25 Asian In a recent census, the proportions for these four ethnic groups are 0.177, 0.042, 0.734, and 0.047, 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 P P₂P and p be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) State the appropriate hypotheses. O H₂: P₁ = 0.047, P₂ -0.011, p = 0.330, p = 0.005 H: at least one p, P Caucasian Hispanic 330 OH: P₁ = 0.120, P, = 0.028, p = 0.840, p = 0.013 H: at least one p, * P OH₂: P₁ = 0.177, P₂ = 0.042, P₂=0.734, p = 0.047 H₂: at least one p, P What can be said about the P-value for the test? OP-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 P-value 0.10 OP-value> 0.10 the test statistic. (Round your answer to tivo decimal places.) 5 State the conclusion in the problem context. O 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. O 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. O Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions. Reject H. There is enough evidence to conclude that at least one of the racial proportions in commercials is not a match to the census proportions.
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