On Thursday, June 13, 1996, then-Arizona Governor Fife Symington was indicted on
ID: 3291150 • Letter: O
Question
On Thursday, June 13, 1996, then-Arizona Governor Fife Symington was indicted on 23 counts of fraud and extortion. Just hours after the federal prosecutors announced the indictment, several polls were conducted of Arizonans asking whether they thought Symington should resign. A poll conducted by "Research Resources Inc." that appeared in the Phoenix Gazette, revealed that 58% of Arizonans felt that Symington should resign; it had a marign of error of plus/minus 4.9 percentage points. Another poll, conducted by Phoenix-based "Behavior Research Center" and appeared in the "Tempe Daily News," reported that 54% of Arizonans felt that Symington should resign; it had a margin of error of plus/minus 4.4 percentage points. Can the conclusions of both polls be correct? Explain your answer.
Explanation / Answer
Answer:
On Thursday, June 13, 1996, then-Arizona Governor Fife Symington was indicted on 23 counts of fraud and extortion. Just hours after the federal prosecutors announced the indictment, several polls were conducted of Arizonans asking whether they thought Symington should resign. A poll conducted by "Research Resources Inc." that appeared in the Phoenix Gazette, revealed that 58% of Arizonans felt that Symington should resign; it had a marign of error of plus/minus 4.9 percentage points. Another poll, conducted by Phoenix-based "Behavior Research Center" and appeared in the "Tempe Daily News," reported that 54% of Arizonans felt that Symington should resign; it had a margin of error of plus/minus 4.4 percentage points. Can the conclusions of both polls be correct? Explain your answer.
For the first poll, the percentage interval is (58-4.9, 58+4.9) = (53.1, 62.9).
For the second poll, the percentage interval is (54-4.4, 54+4.4) = (49.6, 58.4).
The two percentage intervals are overlapping. The conclusions of both polls are same.
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