An article reported the folloving frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. African Ethnicity Asian Caucasian Hispanie American Frequency 59 11 A USE SALT In a recent census, the proportions for these four ethnic groups are 0.177, 0.020, 0.734, and 0.059, 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 P P and e, be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanie respectively) appearing in commercials en Dhiladelphia television stations.) State the appropriate hypotheses. OH,IP, P, P,P, 0.250 H, at least one , 0.25 O H,I P,- 0.059, P, - 0.011. p, - 0.330, P,- 0.008 H,at least one p,Pe OHoI P,0.177. P, 0.030. P,-0.734, P,-0.059 H,i at least one p, P. OHI P, - 0.145. P,- 0.027. P,0.009.P,-0.020 H, at least one p," Pe Caleulate the test statistic. (Round your ansvwer to twe decimal places.) What can be said about the Pvalue for the test? OPvalue e 0.005 O 0.005 < Pvalue < 0.01 O 0.01

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An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations.
African
American
Ethnicity:
Asian
Caucasian
Hispanic
Frequency:
59
11
330
n USE SALT
In a recent census, the proportions for these four ethnic groups are 0.177, 0.03o, 0.734, and 0.059, 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,, P2, Pa, 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 Ho: P, = P, = P, = P, - 0.250
H: at least one p; + 0.25
О н р, 3 0.059, р, - 0.011, р, %3D 0.330, р, %3D 0.008
H: at least one p, + Pio
О нр, - 0.177, р, %3 0.030, р, 3D 0.734, р, - 0.059
H: at least one p,+ Pio
О нр, 3 0.145, р, 3 0.027, р, 3D 0.809, р, %3D 0.020
H: at least one p, + Pn
Calculate the test statistic. (Round your answer to two decimal places.)
x? =
What can be said about the P-value for the test?
O P-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
O P-value > 0.10
State the conclusion in the problem context.
O Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions.
O Fail to reject Hn. 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 Hn. 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 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. African American Ethnicity: Asian Caucasian Hispanic Frequency: 59 11 330 n USE SALT In a recent census, the proportions for these four ethnic groups are 0.177, 0.03o, 0.734, and 0.059, 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,, P2, Pa, 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 Ho: P, = P, = P, = P, - 0.250 H: at least one p; + 0.25 О н р, 3 0.059, р, - 0.011, р, %3D 0.330, р, %3D 0.008 H: at least one p, + Pio О нр, - 0.177, р, %3 0.030, р, 3D 0.734, р, - 0.059 H: at least one p,+ Pio О нр, 3 0.145, р, 3 0.027, р, 3D 0.809, р, %3D 0.020 H: at least one p, + Pn Calculate the test statistic. (Round your answer to two decimal places.) x? = What can be said about the P-value for the test? O P-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 O P-value > 0.10 State the conclusion in the problem context. O Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions. O Fail to reject Hn. 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 Hn. 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 at least one of the racial proportions in commercials is not a match to the census proportions.
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