Homework Assignment 9 Due in week 10 and worth 30 points Suppose that there are two (2) candidates (i.e., Jones and Johns) in the upcoming presidential election. Sara notes that she has discussed the presidential election candidates with 15 friends, and 10 said that they are voting for candidate Jones. Sara is therefore convinced that candidate Jones will win the election because Jones gets more than 50% of votes. Answer the following questions in the space provided below:Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not?How many friend samples Sara should have in order to draw the conclusion with 95% confidence interval? Why?How would you explain your conclusion to Sara without using any statistical jargon? Why?Download the homework below, type your answers into the document and submit it using the link located above.

Recall the use of data from the National Health Survey to estimate behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. Suppose that we randomly select 100 U.S. adults who are smokers and find that 25% of this sample started smoking before the age of 16. Is this much error surprising? Find the probability that a sample proportion will be an over- or underestimate of the parameter by more than 5%.