USA Today reported that about 47 of the general consumer population in the United States is loyal to the automobile manufacturer

Question

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 1009 Chevrolet owners and found that 486 said they would buy another Chevrolet Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47 Use a 0 01 a What is the level of significance 0 01 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 47 H P 0 47 b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 2 1 0 0 1 1 2 2 3 3 O 3 2 1 3 2 0 1 1 0 1 2 2 3 3 n

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