Question

For many years, TV executives used the guideline that 25% of the audience was watching each of the prime-time networks and 25% cable stations on a weekday night. A random sample of 500 viewers last Monday night showed that 200 homes were tuned in to the ABC affiliate, 100 to the CBS affiliate, 70 to the NBC affiliate, and the remainder was viewing a cable station.

H₀: The proportions are as stated.

H₁: The proportions are not as stated.

a. State the decision rule. Use the 0.02 significance level. Appendix B.6. (Round the final answer to 3 decimal places.)

Reject H₀ if ² > _______

b. Compute the value of chi-square. (Round the final answer to 3 decimal places.)

² _________   

c. What is your decision regarding H₀? At the 0.02 significance level, can we conclude that the guideline is still reasonable?

(Click to select)  Reject  Do not reject  H₀. The proportion of viewers  (Click to select)  are  are not  as stated.

Answer 1

a. State the decision rule. Use the 0.02 significance level. Appendix B.6. (Round the final answer to 3 decimal places.)

Reject H0 if 2 > 9.837

b. Compute the value of chi-square. (Round the final answer to 3 decimal places.)

74.400

c. What is your decision regarding H0? At the 0.02 significance level, can we conclude that the guideline is still reasonable?

Reject  H0. The proportion of viewers are not as stated.

observed	expected	O - E	(O - E)² / E
200	125.000	75.000	45.000
100	125.000	-25.000	5.000
70	125.000	-55.000	24.200
130	125.000	5.000	0.200
500	500.000	0.000	74.400
9.837	critical
74.400	chi-square
3	df
4.87E-16	p-value

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