1.Suppose the true proportion of voters in the county who support a specific candidate is 0.56. Consider the sampling distribution for the proportion of supporters with sample size n = 211. What is the mean of this distribution? (Enter your answer accurate to two decimal places.) What is the standard deviation of the sampling distribution (i.e. the standard error)?

2)Suppose that the efficacy of a certain drug is 0.62. Consider the sampling distribution (sample size n = 112) for the proportion of patients cured by this drug. What is the mean of this distribution? (Enter your answer as a number accurate to 2 decimal places.) What is the standard deviation of this sampling distribution (i.e., the standard error)?

3)Data from the U.S. Department of Education indicates that 63% of business graduate students from private universities had student loans. Suppose you randomly survey a sample of graduate business students from private universities. Consider the sampling distribution (sample size n = 140) for the proportion of these students who have loans. What is the mean of this distribution? (Enter your answer accurate to two decimal places.) What is the standard deviation of this sampling distribution (i.e., the standard error)?

5)A Food Marketing Institute found that 32% of households spend more than $125 a week on groceries. Assume the population proportion is 0.32 and a simple random sample of 463 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.34?

6)According to a 2009 Reader's Digest article, people throw away about 20% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 104 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.14?