Last rating period, the percentages of viewers watching several channels between

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 WWTY WACO (News) (News) (Cheers Reruns) (News) Others 22% WTJW 13% 22% 25% Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies: WDUX WWTY WACO (News) (News) (Cheers Reruns) (News) Others 469 WTJW 261 403 351 516 (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is 2 (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.) Ho. conclude viewing shares of the current rating period differ Reject from those of the last.

Explanation / Answer

(a) Each expected value >=5

(b) CHi square table .

X2 = 17.85

where dF = 5-1 = 4

alpha = 0.10

X2crtitical =  7.779

so X2 > X2crtitical is so we shall reject the null hypothesis and we conclude viewing shares of the current rating period differe from the last.

Question 2

Here X2 = 730.16

Here dF = 7-1 = 6 and alpha = 0.05

X2cr = 12.592

News Agency Observed Viewers (O) Percentage Expected Viewers(E) (O-E)^2/E WDUX 261 13% 260 0.003846 WWTY 403 22% 440 3.111364 WACO 469 22% 440 1.911364 WTJW 351 20% 400 6.0025 Others 516 23% 460 6.817391 sum 2000 1 2000 17.84646

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