SOLUTION: USA today reported that about 47% of the general consumer population in the U.S. is loyal to the automobile manufacturer.of their choice. Suppose Cheverlet did a study of a random

Question 476359: USA today reported that about 47% of the general consumer population in the U.S. is loyal to the automobile manufacturer.of their choice. Suppose Cheverlet did a study of a random sample of 1006 Chevrolet owners and found that 495 said that they would buy another Chevrolet.
a) Should you conclude that the population proportion of consumers loyal to Chevrolet is more than 47%? use the 5% significance level
b)to the nearest whole percent, specify the smallest significance level that would change your decision
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
USA today reported that about 47% of the general consumer population in the U.S. is loyal to the automobile manufacturer.of their choice. Suppose Cheverlet did a study of a random sample of 1006 Chevrolet owners and found that 495 said that they would buy another Chevrolet.
a) Should you conclude that the population proportion of consumers loyal to Chevrolet is more than 47%? use the 5% significance level
---
Ho: p <= 0.47
Ha: p > 0.47 (claim)
---
sample proportion: 495/1006 = 0.49
----
test statistic: z(0.49) = (0.49-0.47)/sqrt[0.47*0.53/1006] = 1.27
---
p-value = P(z > 1.27) = 0.1019
----
Conclusion: Since the p-value is greater than 5%, fail to
reject Ho. The test supports the claim at the 5% level
of significance.
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b)to the nearest whole percent, specify the smallest significance level that would change your decision.
Answer: Significance level greater than 10.19%
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Cheers,
Stan H.
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