Question
In: Statistics and Probability
A popular theory is that presidential candidates have an advantage if they are taller than their...
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) (b) and (c) below.
|
Height left parenthesis cm right parenthesis of PresidentHeight (cm) of President |
178 |
176 |
168 |
181 |
194 |
181 |
|
|---|---|---|---|---|---|---|---|
|
Height left parenthesis cm right parenthesis of Main OpponentHeight (cm) of Main Opponent |
163 |
178 |
164 |
172 |
185 |
170 |
Null hypotheses: μd = 0 cm
Alternative hypotheses: μd > 0 cm
Use the sample data with a 0.05 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.
a.) Identify the test statistic.
b.) Identify the p-value.
c.) Construct a confidence interval with 0.05 significance level.
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orchestra answered 2 years agoRelated Solutions
A popular theory is that presidential candidates have an advantage if they are taller than their...
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 left parenthesis cm right parenthesis of
President 181 176 171 189 194 181 Height left parenthesis cm right
parenthesis of Main Opponent 171 178 176 169 189 172 a. Use the
sample data with a 0.01 significance level...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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 left parenthesis cm right parenthesis of
President 181 176 171 189 194 181 Height left parenthesis cm right
parenthesis of Main Opponent 171 178 176 169 189 172 a. Use the
sample data with a 0.01 significance level...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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
Height (cm) of Main Opponent
193
177
180
174
183
164
180
181
185
197
173
186
a. Use the sample data with a 0.05 significance level to test
the claim that for the population...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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 Height (cm) of Main
Opponent
181 165
171 179
169 175
190 183
202 192
a.Use the sample data with a 0.05 significance level to test the
claim that for the population of heights for...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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
191
182
179
183
200
174
Height (cm)of Main Opponent
183
185
178
181
184
176
a. Use the sample data with a 0.01
significance level to test the claim that for the population of...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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 Height (cm) of Main
Opponent
179 166
182 173
173 175
191 174
192 180
182 175
a. Use the sample data with a
0.050.05
significance level to test the claim that for the population...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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.
Identify the test statistic.
t=
Identify the P-value.
P-value =
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...
A popular theory is that presidential candidates have an advantage if they are taller than their...
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 left parenthesis cm right parenthesis of
President Height (cm) of President 189 189 174 174 181 181 180 180
187 187 166 166 Height left parenthesis cm right parenthesis of
Main Opponent Height (cm) of Main Opponent 177...
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