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)Others15%19%22%16%28% 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)Others182536354151777 Click here for the Excel Data File (a) Show that it is appropriate to carry out a chi-square test using these data. (b) 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.)

The random variable is viewing shares. There are 5 categorical variables. The percentages and observed frequencies are give. We have to test whether the viewing shares in the current rating period differ from those in the last rating period or not. This is Chi-square test of goodness-of-fit.The sampling method is simple random sampling. The population is at least 10 times as large as the sample. The variable under study is categorical. The observed frequencies must be obtained randomly and each expected frequency must be greater than or equal to 5.Null Hypothesis: Alternative Hypothesis: Ha: The viewing shares in the current rating period differ from those in the last rating period.The value of the test statistic is χ2= 300.605.Df = n-1 = 5-1 = 4. From Chi-square distribution table, the chi-square critical value at 4 df and 0.10 level is 7.779. Conclusion: Since χ2(=300.605) > 7.779, then reject the null hypothesis. There is sufficient evidence to conclude that the viewing shares in the current rating period differ from those in the last rating period.

Answered: Last rating period, the percentages of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

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%	19%	22%	16%	28%

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
182	536	354	151	777

Click here for the Excel Data File

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

(b) 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.)

Expert Solution