A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 179 180 175 179 197 179 Height (cm) of Main Opponent 165 171 181 176 193 174 ... a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? t = 2.29 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.035 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is 1.0 cm < <μd <15.4 cm. (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers, fail to reject the null hypothesis.
A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 179 180 175 179 197 179 Height (cm) of Main Opponent 165 171 181 176 193 174 ... a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? t = 2.29 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.035 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is 1.0 cm < <μd <15.4 cm. (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers, fail to reject the null hypothesis.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please use the chart to answer the questions on the second image (all of which I got wrong the first time) this is not graded, it is a homework practice question.
Transcribed Image Text:A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed
are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete
parts (a) and (b) below.
Height (cm) of President
179 180 175 179 197 179
Height (cm) of Main Opponent 165 171 181 176 193 174
...
a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents
and their main opponents, the differences have a mean greater than 0 cm.
In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual
difference d is defined as the president's height minus their main opponent's height. What are the null and alternative
hypotheses for the hypothesis test?
Transcribed Image Text:t = 2.29 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.035 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to the significance level,
reject the null hypothesis. There is
sufficient evidence to support the claim that presidents tend to be taller than their opponents.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the
confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is 1.0 cm < <μd <15.4 cm.
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains only negative numbers, fail to reject the null hypothesis.
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