C Secure https: gnment-take st: Exam # 2 ne Remaining: 1:21 53 Email Instructor

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C Secure https: gnment-take st: Exam # 2 ne Remaining: 1:21 53 Email Instructor Save Submit Test for Grading uestions Exercise 12.03 (Self Test) Alsorithmic eBook During the first 13 weeks of the television season, the Saturday evening 8:00 PM to 9:00 PM audience proportions were recorded as ABC 30% CBS 28% NBC 24%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the follow ng viewing audience data ABC 91 homes, CBS 70 h nne, NBC 99 d! homes, and independents S0 homes. Test with ?-.05 to determine whether the viewing audience proportions changed. Round your answers to two decimal places. O Test statistic- O Conclusion Icon Key ave Submit Test for Grading Email Instructor

Explanation / Answer

applying chi square goodness of fit test:

test statitic =6.65 ( pelase try 6.66 if his comes wrong)

p value is between 0.05 and 0.10

conclusion:fail to reject Ho ; there is not sufficient evidence to conclude that viwing audience proportion has changed.

observed Expected Chi square category Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei ABC 0.300 91.000 90.000 0.011 CBS 0.280 70.000 84.000 2.333 NBC 0.240 89.000 72.000 4.014 independent 0.180 50.000 54.000 0.296 total 1.000 300 300 6.655

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