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7) USA Today reported that about 47% of the general consumer population in the United States...

7) USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 490 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.05.

a) state the hypothesis for this test.

b) state the p-value for this test

c) state your conclusion for this test in the context of the problem statement.

d) give 95% confidence interval for the properties of customers loyal to Chevrolet.

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