Question

# The authors of a paper concerned about racial stereotypes in television counted the number of times...

The authors of a paper concerned about racial stereotypes in television counted the number of times that characters of different ethnicities appeared in commercials aired on a certain city's television stations, resulting in the data in the accompanying table.

Ethnicity African-
American
Asian Caucasian Hispanic
Observed Frequency 60 10 324 6

Based on the 2000 Census, the proportion of the U.S. population falling into each of these four ethnic groups are 0.177 for African-American, 0.032 for Asian, 0.734 for Caucasian, and 0.057 for Hispanic. Do the data provide sufficient evidence to conclude that the proportions appearing in commercials are not the same as the census proportions? Test the relevant hypotheses using a significance level of 0.01.

Let p1, p2, p3, and p4 be the proportions of appearances of the four ethnicities across all commercials.

State the null and alternative hypotheses.

H0: p1 = p2 = p3 = p4 = 0.177
Ha: H0 is not true.

H0: p1 = 0.177, p2 = 0.032, p3 = 0.734, p4 = 0.057
Ha: H0 is not true.

H0: p1 = 70.8, p2 = 12.8, p3 = 293.6, p4 = 22.8
Ha: H0 is not true.

H0: p1 = p2 = p3 = p4 = 70.8
Ha: H0 is not true.

H0: p1 = p2 = p3 = p4 = 60
Ha: H0 is not true.

χ2 =

What is the P-value for the test? (Round your answer to four decimal places.)
P-value =

What can you conclude?

Do not reject H0. There is not enough evidence to conclude that the proportions of appearances in commercials are not the same as the census proportions.

Do not reject H0. There is convincing evidence to conclude that the proportions of appearances in commercials are not the same as the census proportions.

Reject H0. There is not enough evidence to conclude that the proportions of appearances in commercials are not the same as the census proportions.

Reject H0. There is convincing evidence to conclude that the proportions of appearances in commercials are not the same as the census proportions.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• Kevin and Bob have owned and operated SOA as a C corporation for a number of...
• Suppose you observe the following effective annual zero-coupon bond yields: 5.08% (1-year), 4.55% (2-year), 3.97% (3-year)....
• The following data are for 30 observations involving two categorical variables, x and y. The categories...
• Researchers at Ohio State and Michigan put leader behavior into two broad categories; __________ and __________....
• Create a class named MyTriangle that contains the following three methods: public static boolean isValid(double sidea,...
• Kinetics For H2 +I2 ->2HI 103k (1/0Cs)      0.54               2.5               &