QUESTION 10 in the previous questions you should be noticing that as the conﬁdence levels decrease, the margin of error also decreases. That means the conﬁdence interval limits are
getting closer together. In your own words, explain why a conﬁdence interval will be wider when the conﬁdence level
is high. Likewise, a conﬁdence interval will be more narrow when the conﬁdence interval is low. Try to use an analogy, if possible, to explain why this makes sense QUESTION 11 USA Today performed a simple random sample of21,944 subjects. The sample
showed that 43% answered, “yes" to this question: ”Would you rather have a boring job
than no job?" The margin of error was given as :1 percentage point with 95% conﬁdence. Describe, in your own words, what the statement from the USA Today poll means, “The
margin of error is :1 percentage point." Make sure to be as speciﬁc as possible, so you prove to me that you understand what a
margin of error is. QUESTION 12 Suppose a separate publication wishes to replicate the results by mailing 100,000
questionnaires. They receive 23,146 responses. Of the 23,146 responses received, 9258 of
them responded with "yes." Therefore, 9258123146 = 0.40. Is the result of 40% a good
point estimate of the population percentage of "yes" responses? Why or why not?