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Math Statistics Fundamentals of Biostatistics

To test: Whether the 5-year survival rate for breast cancer is significantly different between African American those who are younger than 50 years of age and have localized disease. Also provide the p-value. The p-value is approximate 0.0000. Given Information: The data is given as: Calculation: Consider, Caucasian is the sample 1 and African American is the sample 2. So, it is to check if there is difference in the proportion of survival rate for two populations. Thus, the hypotheses become: H 0 : p 1 = p 2 H a : p 1 ≠ p 2 Here, the required values are: p ^ 1 = 0.965 p ^ 2 = 0.916 n 1 = 53060 n 2 = 8063 The sample proportion is found by dividing the percentage by 100. The combined sample proportion is: p ¯ = p ^ 1 × n 1 + p ^ 2 × n 2 n 1 + n 2 = 0.965 53060 + 0.916 8063 53060 + 8063 = 0.959 The test statistic is: z = p ^ 1 − p ^ 2 p ¯ 1 − p ¯ 1 n 1 + 1 n 2 = 0.965 − 0.916 0.959 1 − 0.959 1 56060 + 1 8063 = 20.67 The p-value is calculated as: p − v a l u e = 2 × P Z > z = 2 × P Z > 20.67 = 0.0000 The p-value (0.000) < level of significance (0.05). The null hypothesis is rejected. Conclusion: There is sufficient evidence to conclude that the 5-year survival rate for breast cancer is significantly different between African American those who are younger than 50 years of age and have localized disease.

To test: Whether the 5-year survival rate for breast cancer is significantly different between African American those who are younger than 50 years of age and have localized disease. Also provide the p-value. The p-value is approximate 0.0000. Given Information: The data is given as: Calculation: Consider, Caucasian is the sample 1 and African American is the sample 2. So, it is to check if there is difference in the proportion of survival rate for two populations. Thus, the hypotheses become: H 0 : p 1 = p 2 H a : p 1 ≠ p 2 Here, the required values are: p ^ 1 = 0.965 p ^ 2 = 0.916 n 1 = 53060 n 2 = 8063 The sample proportion is found by dividing the percentage by 100. The combined sample proportion is: p ¯ = p ^ 1 × n 1 + p ^ 2 × n 2 n 1 + n 2 = 0.965 53060 + 0.916 8063 53060 + 8063 = 0.959 The test statistic is: z = p ^ 1 − p ^ 2 p ¯ 1 − p ¯ 1 n 1 + 1 n 2 = 0.965 − 0.916 0.959 1 − 0.959 1 56060 + 1 8063 = 20.67 The p-value is calculated as: p − v a l u e = 2 × P Z > z = 2 × P Z > 20.67 = 0.0000 The p-value (0.000) < level of significance (0.05). The null hypothesis is rejected. Conclusion: There is sufficient evidence to conclude that the 5-year survival rate for breast cancer is significantly different between African American those who are younger than 50 years of age and have localized disease.

Fundamentals of Biostatistics

Fundamentals of Biostatistics

8th Edition

ISBN: 9781305268920

Author: Bernard Rosner

Publisher: Cengage Learning

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Chapter 10, Problem 23P

Chapter 10, Problem 25P

Chapter 10 Solutions

Fundamentals of Biostatistics

Ch. 10.2 - What is a contingency table?Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.1 if a one-sided test with power...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.4 if compliance is as given in...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...

Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Sexually Transmitted Disease Suppose researchers...Ch. 10 - Cancer A 1980 study investigated the relationship...Ch. 10 - Ophthalmology Retinitis pigmentosa is a disease...Ch. 10 - Pulmonary Disease One important aspect of medical...Ch. 10 - Prob. 24P Ch. 10 - Hepatic Disease Refer to Data Set HORMONE.DAT, at...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Orthopedics A study was performed among subjects...Ch. 10 - Prob. 54P Ch. 10 - Prob. 55P Ch. 10 - Prob. 56P Ch. 10 - Prob. 57P Ch. 10 - Prob. 58P Ch. 10 - Cancer A topic of current interest is whether...Ch. 10 - Cancer A topic of current interest is whether...Ch. 10 - Ophthalmology A 5-year study among 601...Ch. 10 - Prob. 74P Ch. 10 - Prob. 77P Ch. 10 - Prob. 87P

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