entify the P-value. -value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? ince the P-value is eir opponents. . 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 he confidence interval is cm

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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
their opponents.
the significance level,
Since the confidence interval contains
the null hypothesis. There
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< d <
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
cm.
sufficient evidence to support the claim that presidents tend to be taller than
the null hypothesis.
Transcribed Image Text: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 their opponents. the significance level, Since the confidence interval contains the null hypothesis. There 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< d < (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? cm. sufficient evidence to support the claim that presidents tend to be taller than 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
194 178 170 186 184 178
Height (cm) of Main Opponent 170 185 176 177 192 180
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?
Ho: Hd
H₁: Hd
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= (Round to two decimal places as needed.)
Identify the P-value.
cm
P-value =
cm
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
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
cm <
n<Hd
(Round to one decimal place as needed.)
<
the significance level,
cm.
the null hypothesis. There
sufficient evidence to support the claim that presidents tend to be taller than
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 194 178 170 186 184 178 Height (cm) of Main Opponent 170 185 176 177 192 180 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? Ho: Hd H₁: Hd (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. cm P-value = cm (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is 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 cm < n<Hd (Round to one decimal place as needed.) < the significance level, cm. the null hypothesis. There sufficient evidence to support the claim that presidents tend to be taller than
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