Question

Last rating period, the percentages of viewers watching several channels between 11 P.M. and 11:30 P.M. in a major TV market were as follows:

WDUX (News)	WWTY (News)	WACO (Cheers Reruns)	WTJW (News)	Others
17%	23%	27%	20%	13%

Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies:

WDUX (News)	WWTY (News)	WACO (Cheers Reruns)	WTJW (News)	Others
304	479	554	329	334

(a)	Show that it is appropriate to carry out a chi-square test using these data.

Each expected value is ≥

(b)	Test to determine whether the viewing shares in the current rating period differ from those in the last rating period at the .10 level of significance. (Round your answer to 3 decimal places.)

χ2

I know the expected value is 5.

Can you please help me with the x2 answer?

Answer 1

(a)  Each expected value is ≥ 5

(b)

Oi	pi	Ei=N*pi
304	0.17	340	3.811765
479	0.23	460	0.784783
554	0.27	540	0.362963
329	0.2	400	12.6025
334	0.13	260	21.06154

Chi square test statistic formula

k=Number of categories

Degree of freedom =k-1= 5-1 = 4

..........................by using chi square critical value table or Excel command =CHIINV(0.1,4)

38.624 > 7.779

Therefore, we reject H0 at