Could you solve the questions please? THANK YOU SO MUCH!!!
An opinion poll asks a sample of SEID adults (an SR5) whether they favor giving parents of school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers It Collected. Suppose that In fact 45% of the population Favor this idea. (a) What is the mean of the sampling distribution of p, the proportion of adults in samples of SDI] who favor giving parents of school-age children these vouchers? (b) What is the standard deviation of p '? (c) Check that you can use the Normal approximation for the distribution off: . _________._____________________ (d) What is the probabiiitv that more than half of the sampte are in favor? Show your work. (j Harley-Davidson motorcycles make up 14% of all the motorcycles registered in the United States. You plan 32:31:39\" an SR3 of 500 motorcycle owners. How likely is your sample to oontaln 20% or more who own 6 (a) What is the mean of the sampling distribution of p ? {b} The: condition needs to be chedted before you can calculate the standard deviation of the sampling ist button? to) Find the standard dev. ofthe sampling distribution of p . {d} Check to see il'the Normal condition is met Is the sampling distribution of p approximately Normal? to] Calculate the probability: (as a proportion} P09 2 0.20) Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district. A polling organization takes a random sample of 500 voters and will use p to estimate p. What is the approximate probability that p will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election? Suppose that 30% of the seniors at a large urban school drink soda on a typical school day.. If a random sample of.49 students is selected from the seniors at this school, what is the probability that more than 37% of the students in the sample drink soda on a typical school day? An opinion poll asks a sample of 500 adults (an SRS) whether they favor giving parents of school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 45% of the population favor this idea.. a) What are the mean and standard deviation of the sampling distribution of p, the proportion of adults in samples of 500 who favor giving parents of school-age children these vouchers?. b) Justify the use of a normal approximation for the sampling distribution of of p in this setting. c) What is the probability that more than half of the sample are in favor? Show all work
