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Chapter 11: Q.11.64 (page 462)

Indicted Governor. On Thursday, June 13, 1996, thenArizona Governor Fife Symington was indicted on 23counts 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 91影视, Inc., that appeared in the Phoenix Gazette, revealed that 58%of Arizonans felt that Symington should resign; it had a margin of error of plus or minus 4.9 percentage points. Another poll, conducted by Phoenix-based Behavior Research Center and appearing in the Tempe Daily News, reported that 54% of Arizonans felt that Symington should resign; it had a margin of error of plus or minus 4.4 percentage points. Can the conclusions of both polls be correct? Explain your answer.

Short Answer

Expert verified

It's possible that the results of both polls are correct.

Step by step solution

01

Given Information

In a poll conducted by Research Resource Inc reported that 58%(with a margin of error of plus or minus 4.9%points of Arizonians felt that Governor Symington should resign.

In a second poll conducted by Behavior Research Center, reported that 54%(with a margin of error of plus or minus

4.4%points of Arizonians felt that Governor Symington should resign.

02

Explanation

Assume that both surveys utilized a confidence level of 95%.

As a result, both polls give the percentage/proportion of Arizonians who believe Governor Symington should resign at a 95%confidence level.

According to the data, the Research Resource Inc poll's confidence interval ranges from 53.1%to 62.9%(58卤4.9).

The Behavior Research Center's confidence interval is 49.6% to 58.4% (54卤4.4).

It should be noticed that both surveys give common credible results ranging from 53.1% to 58.4%.

As a result, it's feasible that the conclusions of both polls are right.

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Most popular questions from this chapter

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