K 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 180 170 182 175 199 177 C Height (cm) of Main Opponent 164 182 167 174 179 176 Identify the test statistic t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, 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 the null hypothesis. There sufficient evidence to support the claim

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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
180 170 182 175 199 177
Height (cm) of Main Opponent 164 182 167 174 179 176
Identify the test statistic.
t= (Round to two decimal places as needed.)
Identify the P-value.
P-value = (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
the significance level,
Since the P-value is
that presidents tend to be taller than their opponents.
the null hypothesis. There
sufficient evidence to support the claim
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
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Transcribed Image Text:ist 5 6 7 8 9 K 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 180 170 182 175 199 177 Height (cm) of Main Opponent 164 182 167 174 179 176 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level, Since the P-value is that presidents tend to be taller than their opponents. the null hypothesis. There sufficient evidence to support the claim 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 -------------10
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K
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 164
180 170 182 175 199 177 D
182 167 174 179 176
Since the P-value is
that presidents tend to be taller than their opponents.
the significance level,
G
the null hypothesis. There
cm.
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 cm<Hd<
(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
sufficient evidence to support the claim
the null hypothesis.
Transcribed Image Text:estion list Question 5 Question 6 Question 7 Question 8 Question 9 K 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 164 180 170 182 175 199 177 D 182 167 174 179 176 Since the P-value is that presidents tend to be taller than their opponents. the significance level, G the null hypothesis. There cm. 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 cm<Hd< (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 sufficient evidence to support the claim the null hypothesis.
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