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
15%	20%	25%	15%	25%

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
348	434	472	397	349

(a) Show that it is appropriate to carry out a chi-square test using these data and calculate the value of the test statistic.

Each expected value is ≥        

χ2χ2        

(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.)

(Click to select)Do not rejectReject H₀. Conclude viewing shares of the current rating period (Click to select)do not differdiffer from those of the last.

Answer 1

a)Each expected value is ≥5

applying chi square goodness of fit test:

	relative	observed	Expected	residual	Chi square
category	frequency(p)	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
WEUX	0.150	348.000	300.00	2.77	7.680
WWTY	0.200	434.000	400.00	1.70	2.890
WACO	0.250	472.000	500.00	-1.25	1.568
WTJW	0.150	397.000	300.00	5.60	31.363
Others	0.250	349.000	500.00	-6.75	45.602
total	1.000	2000	2000		89.1033
test statistic X2 =		89.103

b)

p value =0.0000

Reject H₀. Conclude viewing shares of the current rating period differ from those of the last.