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
13%	21%	28%	19%	19%

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
269	394	524	344	469

(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)differdo not differ from those of the last.

Answer 1

proprotions Number of students (O) Expected E=np Chi square =CO-E) E 269 0.13 260 420 394 Values WDUX WWTY WACO WTJW Other 0.21 0.28 560 524 344 469 2000 0.3115 1.6095 2.3143 3.4105 20.8447 28.4906 0.19 0.19 380 380 Test statistic x2 = 2(03) = 28.491

Test hypothesis are Null hypothesis Ho : p1=0.13 ,p2 =0.21 , p3 =0.28.p4 +0.19 , p5 =0.19 Alternatehypothesis Hj: Atleast one of the proportion is different Degrees of fredom (df) df=(n-1) = 4 Critical value 0.10 7.779 Test statistic x 28.491 P-value p-value 0.0000 Result Since p-value < 0.10 hence reject the null hypothesis Since test statitsic >7.779 hence reject the null hypothesis