SOLUTION: 2. Last year a survey in the Nashville TV viewing area showed that 20 percent of the viewers watched their news on WBEN, which is channel 13. In an effort to increase their rating,

Question 402504: 2. Last year a survey in the Nashville TV viewing area showed that 20 percent of the viewers watched their news on WBEN, which is channel 13. In an effort to increase their rating, WBEN added several new reporters to cover local stories and events more thoroughly. A survey last week revealed that out of 400 viewers contacted, 94 watched the news on WBEN. Can we conclude that the percent of viewers has increased? Use the 0.05 significance level.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Last year a survey in the Nashville TV viewing area showed that 20 percent of the viewers watched their news on WBEN, which is channel 13. In an effort to increase their rating, WBEN added several new reporters to cover local stories and events more thoroughly.
A survey last week revealed that out of 400 viewers contacted, 94 watched the news on WBEN. Can we conclude that the percent of viewers has increased? Use the 0.05 significance level.
----------------------
Ho: p(new)-p(old) = 0
Ha: p(new)-p(old) > 0 (claim)
----
Critical Value: z = 1.645
p-hat = 94/400 = 0.235
---
test stat: z(0.235) = (0.235-0.20)/sqrt[0.2*0.8/400] = 1.75
---
p-value: P(z > 1.75) = 0.04
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Conclusion: Since the ts is in the reject interval, reject Ho.
The test results support the claim at the 5% level of significance.
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Cheers,
Stan H.
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