Question

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

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%.

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

Please upvote if you have liked my answer, would be of great help. Thank you

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