An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: African American Asian Caucasian Hispanic 4 Frequency: 58 330 In USE SALT In a recent census, the proportions for these four ethnic groups are 0.177, 0.031, 0.734, and 0.058, 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, Pa, and pa 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: P1 = 0.143, P2 = 0.027, P3 = 0.813, Pa = 0.017 H : at least one p, # Pio O Ho: P1 = 0.058, P2 = 0.011, P2 = 0.330, Pa = 0.007 H: at least one p, # Pio O Ho: P1 = P2 = P3 = PA = 0.250 Ha: at least one p, # 0.25 O Ho: P1 = 0.177, P2 = 0.031, P3 = 0.734, Pa = 0.058 H: at least one p # Pio Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test ? O P-value 0.10 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. 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 Reject H. There is enough evidence to conclude that none of the racial proportions in commercials is 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