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 180 187 170 178 186 171 Height (cm) of Main Opponent 175 179 164 179 197 181 Question content area bottom Part 1 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? H0: μd ▼ less than< equals= greater than> not equals≠ enter your response here cm H1: μd ▼ equals= less than< not equals≠ greater than> enter your response here cm (Type integers or decimals. Do not round.) Part 2 Identify the test statistic. t=enter your response here (Round to two decimal places as needed.) Part 3 Identify the P-value. P-value=enter your response here (Round to three decimal places as needed.) Part 4 What is the conclusion based on the hypothesis test? Since the P-value is ▼ less than or equal to greater than the significance level, ▼ fail to reject reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim that presidents tend to be taller than their opponents. Part 5 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 enter your response here cm<μd
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 180 187 170 178 186 171 Height (cm) of Main Opponent 175 179 164 179 197 181 Question content area bottom Part 1 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? H0: μd ▼ less than< equals= greater than> not equals≠ enter your response here cm H1: μd ▼ equals= less than< not equals≠ greater than> enter your response here cm (Type integers or decimals. Do not round.) Part 2 Identify the test statistic. t=enter your response here (Round to two decimal places as needed.) Part 3 Identify the P-value. P-value=enter your response here (Round to three decimal places as needed.) Part 4 What is the conclusion based on the hypothesis test? Since the P-value is ▼ less than or equal to greater than the significance level, ▼ fail to reject reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim that presidents tend to be taller than their opponents. Part 5 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 enter your response here cm<μd
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
|
180
|
187
|
170
|
178
|
186
|
171
|
|
---|---|---|---|---|---|---|---|
Height (cm) of Main Opponent
|
175
|
179
|
164
|
179
|
197
|
181
|
|
Question content area bottom
Part 1
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,
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?
μd
is the H0:
μd
enter your response here
cm▼
less than<
equals=
greater than>
not equals≠
H1:
μd
enter your response here
cm▼
equals=
less than<
not equals≠
greater than>
(Type integers or decimals. Do not round.)
Part 2
Identify the test statistic.
t=enter your response here
(Round to two decimal places as needed.)Part 3
Identify the P-value.
P-value=enter your response here
(Round to three decimal places as needed.)Part 4
What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
the null hypothesis. There
sufficient evidence to support the claim that presidents tend to be taller than their opponents.
▼
less than or equal to
greater than
▼
fail to reject
reject
▼
is not
is
Part 5
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
enter your response here
cm<μd<enter your response here
cm.(Round to one decimal place as needed.)
Part 6
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
the null hypothesis.
▼
only negative numbers,
only positive numbers,
zero,
▼
fail to reject
reject
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