In: Math
Presidential stature
In a race for U.S. president, is the taller candidate more likely
to win?
1.4.28 In the first election of the 20th century, Theodore
Roosevelt (178 cm) defeated Alton B. Parker (175 cm). There have
been 27 additional elections since then, for a total of 28. Of
these, 25 elections had only two major party candidates with one
taller than the other. In 19 of the 25 elections, the taller
candidate won.
a. Let π = P(taller wins). State the research hypothesis in words
and in symbols.
b. State the null and alternative hypotheses in words and
symbols.
c. Compute the appropriate p-value using an applet.
d. If you take the p-value at face value, what do you
conclude?
e. Are there reasons not to take the p-value at face value? Is yes,
list them
So, we can say that there is sufficient evidence to support the claim that the taller candidate wins.