An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: Frequency: African American 68 USE SALT Asian 11 Caucasian 330 State the appropriate hypotheses. O Ho: P₁ = 0.177, P₂=0.021, P₂ = 0.734, P4 = 0.068 H₁: at least one p₁ = P OHg: P₁ = P₂ = P₂ = P₂ = 0.250 H: at least one p, = 0.25 In a recent census, the proportions for these four ethnic groups are 0.177, 0.021, 0.734, and 0.068, 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 = 0.163, P₂ = 0.026, p = 0.793, P4 = 0.017 H: at least one p₁* P₁0 x² What can be said about the P-value for the test? OP-value < 0.005 O 0.005 < P-value < 0.01 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 OP-value> 0.10 Hispanic 7 O Ho: P₁ = 0.068, P₂ = 0.011, p₂ = 0.330, P4 = 0.007 H₁: at least one p₁= P10 Calculate the test statistic. (Round your answer to two decimal places.) State the conclusion in the problem context. O Fail to reject Ho. 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. O Fail to reject Ho. There is enough evidence to conclude that all of the racial proportions in commercials are a match to the census proportions. O Reject H₂. There is enough evidence to conclude that none of the racial proportions in commercials is a match to the census proportions. You may need to use the appropriate table in the Appendix of Tables to answer this question.