SOLUTION: Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that

Question 315264: Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.
30. What is the null hypothesis?
31. What is the alternate hypothesis?
32. What is the sample proportion?
33. What is the critical value if a = 0.01 ?
34. What is the z-statistic?
35. What is the critical value if the level of significance is 0.10?
36. What is your decision if a = 0.01

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.
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30. What is the null hypothesis?
Ho: p >= 0.41
Ha: p < 0.41
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31. What is the alternate hypothesis?
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32. What is the sample proportion?
sample proportion: 0.36
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33. What is the critical value if a = 0.01 ?
invNorm(0.01) = -2.3263
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34. What is the z-statistic?
z(0.36) = (0.36-0.41)/sqrt{0.41*0.59/100) = -1.0166
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35. What is the critical value if the level of significance is 0.10?
invNorm(0.10) = -1.2816
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36. What is your decision if a = 0.01
Since the test stat is not in the reject interval, fail to reject Ho.
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Cheers,
Stan H.

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