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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. Height (cm) of President 193 179 174 180 197 178 Height (cm) of Main Opponent 173 188 178 170 180 178 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, Hd 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 ▼ cm H₁: Hd ▼ cm (Type integers or decimals. Do not round.) 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 null hypothesis. There sufficient evidence to support the claim that the significance level, presidents tend to be taller than their opponents.

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. Height (cm) of President 193 179 174 180 197 178 Height (cm) of Main Opponent 173 188 178 170 180 178 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, Hd 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 ▼ cm H₁: Hd ▼ cm (Type integers or decimals. Do not round.) 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 null hypothesis. There sufficient evidence to support the claim that the significance level, presidents tend to be taller than their opponents.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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. Height (cm) of President 193 179 174 180 197 178 Height (cm) of Main Opponent 173 188 178 170 180 178 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, μg 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 ▼ cm H₁: Hd ▼ cm (Type integers or decimals. Do not round.) 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 null hypothesis. There sufficient evidence to support the claim that the significance level, presidents tend to be taller than their opponents.
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. Height (cm) of President 193 179 174 180 197 178 Height (cm) of Main Opponent 173 188 178 170 180 178 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, μg 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 ▼ cm H₁: Hd ▼ cm (Type integers or decimals. Do not round.) 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 null hypothesis. There sufficient evidence to support the claim that the significance level, presidents tend to be taller than their opponents.
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