A marketing research firm is conducting a study to determine if there is a relationship between anindividual's age and theindividual's preferred source of news. The research firm asked1,000 individuals to list their preferred source fornews; newspaper, radio andtelevision, or the Internet. The accompanying results were obtained. At the 0.01 level ofsignificance, can the marketing research firm conclude that there is a relationship between the age of the individual and theindividual's preferred source fornews?

Preferred News

Age of Respondent

Source

20-30

31-40

41-50

Over 50

Newspaper

18

63

95

148

Radio/TV

26

124

168

88

Internet

105

112

38

15

Determine the null and alternative hypotheses. Choose the correct answer below.

A.

H0: The mean age for each preferred news source are equal.

HA: At least one mean for each preferred news source is not equal.

B.

H0: Age of the individual is not independent of preferred news source.

HA: Age of the individual is independent of preferred news source.

C.

H0: At least one mean for each preferred news source is not equal.

HA: The mean age for each preferred news source are equal.

D.

H0: Age of the individual is independent of preferred news source.

HA: Age of the individual is not independent of preferred news source.

Calculate the test statistic.

2=

nothing

(Round to two decimal places asneeded.)

Calculate thep-value.

Thep-value is

nothing

. (Round to three decimal places asneeded.)

Reach a decision. Choose the correct answer below.

A.

Reject H0. There is sufficient evidence to conclude that the two variables are not independent.

B.

Do not reject H0. There is insufficient evidence to conclude that the two means are not equal.

C.

Do not reject H0. There is insufficient evidence to conclude that the two variables are not independent.

D.

Reject H0. There is sufficient evidence to conclude that the two means are not equal.

Can the marketing research firm conclude that there is a relationship between the age of the individual and theindividual's preferred source fornews?

A.

Yes, the marketing research firm can conclude that there is a relationship between the age of the individual and the preferred source of news since H0 is not rejected.

B.

No, the marketing research firm cannot conclude that there is a relationship between the age of the individual and the preferred source of news since H0 is rejected.

C.

Yes, the marketing research firm can conclude that there is a relationship between the age of the individual and the preferred source of news since H0 is rejected.

D.

No, the marketing research firm cannot conclude that there is a relationship between the age of the individual and the preferred source of news since H0 is not rejected.