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For many years, TV executives used the guideline that 30% of the audience was wa

ID: 3063069 • Letter: F

Question

For many years, TV executives used the guideline that 30% of the audience was watching each of the traditional big three prime-time networks and 10% was watching cable stations on a weekday night. A random sample of 700 viewers in the Tampa-St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 160 to the CBS affiliate, and 150 to the NBC affiliate, with the remainder viewing a cable station. At the 0.05 significance level, can we conclude that the guideline is still reasonable? Ho: The proportions are as stated. H: The proportions are not as stated. State the decision rule using 0.05 significance level. (Round your answer to 3 decimal places.) Reject H0 if chi-square > Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square value What is your decision regarding Ho? HO. Proportion of viewersas stated.

Explanation / Answer

reject Ho: if chi square > 7.8147

chi square value = 381.904

we reject Ho

Oi Ei (Oi-Ei)^2/Ei 0.3 165 210 9.642857143 0.3 160 210 11.9047619 0.3 150 210 17.14285714 0.1 225 70 343.2142857 1 700 700 381.9047619 critical value 7.814727903