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Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DCIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpec- tomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached?

Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DCIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpec- tomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached?

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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Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ

(DIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpectomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached?

3.) Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DCIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpec- tomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached? Section 3: Test of Independence: One of the most frequent uses of the Chi-Square test is for testing whether two criteria of classifications, when applied to a population, are independent. For example, a market research firm might wish to know whether it can conclude that, for adults in a certain city, the type of beauty care product purchased is associated with the area of residence. This information could help them decide which products to offer and advertise at which store throughout the city. As before, to work the problem, we just need to know how to arrange the data, the null and alternative hypothesis, the assumptions, and the test statistic and its distribution. • The data: The observed values, i.e., the data, is arranged in what is called a contingency table or a two-way table. The levels of one criterion provide row headings and the levels of the second crite- rion provide the column headings. The intersection of the rows and columns are called cells. Characteristic 2 ABC • The hypothesis: D 25 35 62 Characteristic 1 E 65 22 38 Ho: independent Ha: dependent F 42 45 NDOW 11 |34
Transcribed Image Text:3.) Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DCIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpec- tomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached? Section 3: Test of Independence: One of the most frequent uses of the Chi-Square test is for testing whether two criteria of classifications, when applied to a population, are independent. For example, a market research firm might wish to know whether it can conclude that, for adults in a certain city, the type of beauty care product purchased is associated with the area of residence. This information could help them decide which products to offer and advertise at which store throughout the city. As before, to work the problem, we just need to know how to arrange the data, the null and alternative hypothesis, the assumptions, and the test statistic and its distribution. • The data: The observed values, i.e., the data, is arranged in what is called a contingency table or a two-way table. The levels of one criterion provide row headings and the levels of the second crite- rion provide the column headings. The intersection of the rows and columns are called cells. Characteristic 2 ABC • The hypothesis: D 25 35 62 Characteristic 1 E 65 22 38 Ho: independent Ha: dependent F 42 45 NDOW 11 |34
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