Question

Can you explain step by step. Can I resolve this problem on the calculator TI-84 Texas Instruments.

Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a​ 95% confidence interval estimate of the population percentage. Based on the​ result, does it appear that greater height is an advantage for presidential​ candidates? Why or why​ not?

PRESIDENT	HEIGHT	HEIGHT OPP
Taylor	173	174
Pierce	178	196
J. Q. Adams	171	191
Carter	177	183
Lincoln	193	188
Jefferson	189	170
G. W. BushG.	183	185
Van Buren	168	180
Harrison	168	180
Buchanan	183	175
Harrison	173	168
Nixon	182	180
Cleveland	180	180
Wilson	180	182
Johnson	192	180
Hoover	182	180
Polk	173	185
J. Kennedy	183	182
Coolidge	178	180
Harding	183	178

Construct a​ 95% confidence interval estimate of the percentage of presidents who were taller than their opponents.

----------%<p<----------​%

​(Round to one decimal place as​ needed.)

If greater height was an advantage, then taller candidates should have won--------------50% of the elections.

In this case, greater height --------------to be an advantage for presidential candidates because the confidence interval ------------include 50%.

Answer 1

A.

n = 20

No. of presidents who are taller than their opponents = 9 (I have not included the data where the president and the opponent were of the same height)

= 9/20

= 0.45

Confidence Interval:

i.e. [23.2%, 66.8%]

B.

more than

C.

is found

does include

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