Question: Refer to Exercise. One of the questions asked was, "Do you think there will or will not come a time when Israel and the Arab nations will be able to settle their differences and live in peace?" The choices and percentage choosing them were "Yes, will be a time" (49%), "No, will not" (47%), "No opinion" (4%).
a. Give the interval of values that is likely to cover the true proportion of the population who would answer, "Yes, will be a time."
b. Give the interval of values that is likely to cover the true proportion of the population who would answer, "No, will not."
c. Compare your answers in parts (a) and (b). Is there a clear majority of the population for either opinion? Explain.
Exercise: An Internet report on a 1999 Gallup poll (https://www.gallup.com/poll/index.asp, August 2, 1999) included the following statement: "The results below are based on telephone interviews with a randomly selected national sample of 1021 adults, 18 years and older, conducted July 22-25, 1999. For results based on this sample, one can say with 95 percent confidence that the maximum error attributable to sampling and other random effects is plus or minus 3 percentage points." What is the margin of error for this survey? Give two separate ways in which you know this is the answer.