1. In a study of 465 women, | researchers wanted to evaluate if education level was related to the stage of cancer at the initial diagnosis by a doctor. Results of the data are presented on the right: a. What type of data is the stage of cancer? Quantitative, continuous Categorical, nominal Education 6 years 7-12 years Some college College grad. TOTAL Multiple Regression ANCOVA Quantitative, discrete Categorical, ordinal Stage of Cancer II 19 24 33 21 27 30 35 30 27 31 38 22 106 119 Nonlinear Regression A nonparametric test I IV 41 39 24 24 112 128 b. Based on part a, we could in theory use one of the statistical tests below (that we did not learn the calculations for). Which one? TOTAL 117 117 116 115 465 Chi-square Test of Trends Two-way ANOVA c. Don't use the test you mentioned in part b. Instead, we'll use one of the tests to determine if the amount of people's education is related to the stage of cancer that people have when they are initially diagnosed by a doctor. i. Which test are you using? ii. Determine the expected value for 7-12 year olds with Stage Il cancer and college graduates with Stage III cancer (these two cells only). Determine the test score for these same two cells (only). iii. iv. State the null and alternative hypotheses. v. The total test score value for this problem is 20.8. State the critical value, degrees of freedom, if you accept or reject the null hypothesis, and state your conclusion.
1. In a study of 465 women, | researchers wanted to evaluate if education level was related to the stage of cancer at the initial diagnosis by a doctor. Results of the data are presented on the right: a. What type of data is the stage of cancer? Quantitative, continuous Categorical, nominal Education 6 years 7-12 years Some college College grad. TOTAL Multiple Regression ANCOVA Quantitative, discrete Categorical, ordinal Stage of Cancer II 19 24 33 21 27 30 35 30 27 31 38 22 106 119 Nonlinear Regression A nonparametric test I IV 41 39 24 24 112 128 b. Based on part a, we could in theory use one of the statistical tests below (that we did not learn the calculations for). Which one? TOTAL 117 117 116 115 465 Chi-square Test of Trends Two-way ANOVA c. Don't use the test you mentioned in part b. Instead, we'll use one of the tests to determine if the amount of people's education is related to the stage of cancer that people have when they are initially diagnosed by a doctor. i. Which test are you using? ii. Determine the expected value for 7-12 year olds with Stage Il cancer and college graduates with Stage III cancer (these two cells only). Determine the test score for these same two cells (only). iii. iv. State the null and alternative hypotheses. v. The total test score value for this problem is 20.8. State the critical value, degrees of freedom, if you accept or reject the null hypothesis, and state your conclusion.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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Transcribed Image Text:1. In a study of 465 women,
researchers wanted to evaluate if
education level was related to the
stage of cancer at the initial
diagnosis by a doctor. Results of the
data are presented on the right:
What type of data is the stage of
cancer?
a.
Quantitative, continuous
Categorical, nominal
C.
Education
6 years
7-12 years
Some college
College grad.
TOTAL
☐ANCOVA
Quantitative, discrete
Categorical, ordinal
|
Nonlinear Regression
A nonparametric test
19
21
35
31
Stage of Cancer
24
27
30
38
106 119
IV
b. Based on part a, we could in theory use one of the statistical tests below (that we did not learn
the calculations for). Which one?
Multiple Regression
33
41
30
39
27
24
22
24
112 128
TOTAL
117
117
116
115
465
Chi-square Test of Trends
Two-way ANOVA
Don't use the test you mentioned in part b. Instead, we'll use one of the tests to determine if the
amount of people's education is related to the stage of cancer that people have when they are
initially diagnosed by a doctor.
i. Which test are you using?
ii.
Determine the expected value for 7-12 year olds with Stage II cancer and college graduates
with Stage III cancer (these two cells only).
iii. Determine the test score for these same two cells (only).
iv. State the null and alternative hypotheses.
v. The total test score value for this problem is 20.8. State the critical value, degrees of freedom,
if you accept or reject the null hypothesis, and state your conclusion.
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