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 171 187 165 183 186 171 193 183 167 186 202 176 a. 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, Pg 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 Ha = 0 cm H Ha> (Type integers or decimals. Do not round.) 0 cm Identify the test statistic. (Round to two decimal places as needed.) T = (round 2 decimal places) P value = ( round 3 decimal places) b. Construct the contidence interval that could be used for the hypothesis test described in part (a). What feature of the conidence interval leads to the same conclusion reached in part (a)? 1 the o The confidence interval is (Round to one decimal place as needed) cm

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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
Height (cm) of Main Opponent 171 187 165 183 186 171
193 183 167 186 202 176
a. 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, Pg 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 Ha =
0 cm
H Ha>
(Type integers or decimals. Do not round.)
0 cm
Identify the test statistic.
(Round to two decimal places as needed.)
T = (round 2 decimal places)
P value = ( round 3 decimal places)
b. Construct the contidence interval that could be used for the hypothesis test described in part (a). What feature of the conidence interval leads to the same
conclusion reached in part (a)?
1 the o
The confidence interval is
(Round to one decimal place as needed)
cm<g< % \cm.
What feature of the confidence interval leads to the same conclusion reached in part (a)?
tail to reject the null hypothesis
Since the confidence interval contains
zero,
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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 Height (cm) of Main Opponent 171 187 165 183 186 171 193 183 167 186 202 176 a. 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, Pg 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 Ha = 0 cm H Ha> (Type integers or decimals. Do not round.) 0 cm Identify the test statistic. (Round to two decimal places as needed.) T = (round 2 decimal places) P value = ( round 3 decimal places) b. Construct the contidence interval that could be used for the hypothesis test described in part (a). What feature of the conidence interval leads to the same conclusion reached in part (a)? 1 the o The confidence interval is (Round to one decimal place as needed) cm<g< % \cm. What feature of the confidence interval leads to the same conclusion reached in part (a)? tail to reject the null hypothesis Since the confidence interval contains zero, Question is complete. Tap on the red indicators to see incorrect answers. Similar Question All parts showing
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