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Questions 31-32. In a study, 1000 men and 1000 women at age of 25 years old were surveyed. Among them, 290 of the men and 340 women had some grey hair. At the significance level of a = 0.01, do the data suggest that 25 years old men are less likely to have grey hair than 25 years old women? A researcher performed two analyses using Minitab with relevant outputs below. ANALYSIS I Test and CI for Two Proportions Method Estimation for Difference Difference -0.05 95% CI for Difference CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Difference (-0.090657, -0.009343) -0.05 ANALYSIS II Test and CI for Two Proportions Method Estimation for Difference Method Normal approximation Fisher's exact 95% Upper Bound for Difference Method -0.015880 Normal approximation Fisher's exact CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Z-Value -2.41 Z-Value -2.41 P-Value 0.016 0.018 P-Value 0.008 0.009 Question 31. Let p₁ and p2 indicate the population proportions of 25 years old men and women who have some grey hair, respectively. An appropriate analysis of the above data is (A) Analysis I with alternative hypothesis Ha: p1

Questions 31-32. In a study, 1000 men and 1000 women at age of 25 years old were surveyed. Among them, 290 of the men and 340 women had some grey hair. At the significance level of a = 0.01, do the data suggest that 25 years old men are less likely to have grey hair than 25 years old women? A researcher performed two analyses using Minitab with relevant outputs below. ANALYSIS I Test and CI for Two Proportions Method Estimation for Difference Difference -0.05 95% CI for Difference CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Difference (-0.090657, -0.009343) -0.05 ANALYSIS II Test and CI for Two Proportions Method Estimation for Difference Method Normal approximation Fisher's exact 95% Upper Bound for Difference Method -0.015880 Normal approximation Fisher's exact CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Z-Value -2.41 Z-Value -2.41 P-Value 0.016 0.018 P-Value 0.008 0.009 Question 31. Let p₁ and p2 indicate the population proportions of 25 years old men and women who have some grey hair, respectively. An appropriate analysis of the above data is (A) Analysis I with alternative hypothesis Ha: p1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Questions 31-32. In a study, 1000 men and 1000 women at age of 25 years old were surveyed. Among them, 290 of the men and 340 women had some grey hair. At the significance level of a = 0.01, do the data suggest that 25 years old men are less likely to have grey hair than 25 years old women? A researcher performed two analyses using Minitab with relevant outputs below. ANALYSIS I Test and CI for Two Proportions Method Estimation for Difference Difference -0.05 95% CI for Difference CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Difference (-0.090657, -0.009343) -0.05 ANALYSIS II Test and CI for Two Proportions Method Estimation for Difference Method Normal approximation Fisher's exact 95% Upper Bound for Difference Method -0.015880 Normal approximation Fisher's exact CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Z-Value -2.41 Z-Value -2.41 P-Value 0.016 0.018 P-Value 0.008 0.009 Question 31. Let p₁ and p2 indicate the population proportions of 25 years old men and women who have some grey hair, respectively. An appropriate analysis of the above data is (A) Analysis I with alternative hypothesis Ha: p1 <P2. (B) Analysis II with alternative hypothesis Ha: p₁ <P2. (C) Analysis I with alternative hypothesis Ha: p1 # P2. P2. (D) Analysis II with alternative hypothesis Ha: p₁ # (E) Analysis I with alternative hypothesis Ha: p₁ = P2.
Transcribed Image Text:Questions 31-32. In a study, 1000 men and 1000 women at age of 25 years old were surveyed. Among them, 290 of the men and 340 women had some grey hair. At the significance level of a = 0.01, do the data suggest that 25 years old men are less likely to have grey hair than 25 years old women? A researcher performed two analyses using Minitab with relevant outputs below. ANALYSIS I Test and CI for Two Proportions Method Estimation for Difference Difference -0.05 95% CI for Difference CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Difference (-0.090657, -0.009343) -0.05 ANALYSIS II Test and CI for Two Proportions Method Estimation for Difference Method Normal approximation Fisher's exact 95% Upper Bound for Difference Method -0.015880 Normal approximation Fisher's exact CI based on normal approximation The pooled estimate of the proportion (0.315) is used for the tests. Z-Value -2.41 Z-Value -2.41 P-Value 0.016 0.018 P-Value 0.008 0.009 Question 31. Let p₁ and p2 indicate the population proportions of 25 years old men and women who have some grey hair, respectively. An appropriate analysis of the above data is (A) Analysis I with alternative hypothesis Ha: p1 <P2. (B) Analysis II with alternative hypothesis Ha: p₁ <P2. (C) Analysis I with alternative hypothesis Ha: p1 # P2. P2. (D) Analysis II with alternative hypothesis Ha: p₁ # (E) Analysis I with alternative hypothesis Ha: p₁ = P2.
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