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.