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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%.

Homework Answers

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

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

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