March REGISTERED VOTERS 2020 Donald Trump 45% Joe Biden 48% (VOL) Other candidate 3% (VOL) No one 0% (VOL) Undecided 4% (n) (754)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
We are in the middle of the election season with some states still having their state elections and voting for the Democratic nominee. However, since Bernie Sanders dropped out of the race, Joe Biden has become the presumptive Democratic nominee who will run against Donald Trump for the presidency in November. A recent poll from a national university was conducted by telephone with 754 registered voters from March 18 to 22, 2020. One of the questions they asked was:
If the election for President was today, would you vote for … Donald Trump the Republican or Joe Biden the Democrat? [NAMES WERE ROTATED] [If UNDECIDED: If you had to vote for one of the following candidates at this moment, who do you lean toward – Donald Trump or Joe Biden?]
- Create confidence intervals for the percentage of registered voters who will vote for Biden and for Trump, respectively. You should have two separate confidence intervals, one for each of them.
- A news report citing this poll declares that Biden would win the election if it was today. Is this a correct statement or not? Use the evidence from the confidence intervals you computed in part a to support or dispute the claim made by this news report. Your analysis must be based on confidence intervals and the meaning of the margin of error only. Any information not contained in the problem description should not be used.
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