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Suppose that a recent poll found that 62% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). Question 1 (a) For 300 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is (Round to the nearest whole number as needed.)

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Final answer:

a. The random variable X represents the number of adults who believe that the overall state of moral values is poor. The random variable P' represents the population proportion of adult Americans who are worried a lot about the quality of education in our schools. b. The distribution that should be used for this problem is the binomial distribution. c. To construct a 95 percent confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in our schools...

Step-by-step explanation:

a. The random variable X represents the number of adults who believe that the overall state of moral values is poor. The random variable P' represents the population proportion of adult Americans who are worried a lot about the quality of education in our schools.

b. The distribution that should be used for this problem is the binomial distribution. This is because X represents the number of adults out of a fixed number (300) who believe that the overall state of moral values is poor, which can be classified as a success or failure.

c. To construct a 95 percent confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in our schools, certain assumptions and calculations need to be made.

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