Preventable chronic diseases are increasing rapidly in some regions, particularly diabetes. Shown below is a contingency table showing cross classification of educational attainment and diabetic state for a random sample of 1346 people in a region (HS is high school). At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between educational level and diabetic state for the region? Less than HS HS grad 40 31 297 207 337 238 Diabetes No diabetes Total Some college College grad Total 136 1210 1346 32 389 421 33 317 350 What are the null and alternative hypotheses? O A. Ho: The two variables, educational level and diabetic state, are not associated. H₂: The two variables, educational level and diabetic state, are associated. The test statistic is (Round to three decimal places as needed.) O B. Ho: The variable educational level is dependent upon diabetic state. H₂: The variable diabetic state is dependent upon educational level. O C. Ho: The two variables, educational level and diabetic state, are associated. H₂: The two variables, educational level and diabetic state, are not associated.
Preventable chronic diseases are increasing rapidly in some regions, particularly diabetes. Shown below is a contingency table showing cross classification of educational attainment and diabetic state for a random sample of 1346 people in a region (HS is high school). At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between educational level and diabetic state for the region? Less than HS HS grad 40 31 297 207 337 238 Diabetes No diabetes Total Some college College grad Total 136 1210 1346 32 389 421 33 317 350 What are the null and alternative hypotheses? O A. Ho: The two variables, educational level and diabetic state, are not associated. H₂: The two variables, educational level and diabetic state, are associated. The test statistic is (Round to three decimal places as needed.) O B. Ho: The variable educational level is dependent upon diabetic state. H₂: The variable diabetic state is dependent upon educational level. O C. Ho: The two variables, educational level and diabetic state, are associated. H₂: The two variables, educational level and diabetic state, are not associated.
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
Related questions
Question
What is the conclusion of the independence test?
Reject
H0.
The data
do not provide
sufficient evidence of an association.Do not reject
H0.
The data
provide
sufficient evidence of an association.Do not reject
H0.
The data
do not provide
sufficient evidence of an association.Reject
H0.
The data
provide
sufficient evidence of an association
Transcribed Image Text:Preventable chronic diseases are increasing rapidly in some regions, particularly diabetes.
Shown below is a contingency table showing cross classification of educational attainment and
diabetic state for a random sample of 1346 people in a region (HS is high school). At the 1%
significance level, do the data provide sufficient evidence to conclude that an association exists
between educational level and diabetic state for the region?
Less than HS HS grad
40
Diabetes
No diabetes 297
Total
337
31
207
238
Some college College grad Total
136
1210
1346
32
389
421
33
317
350
What are the null and alternative hypotheses?
O A. Ho: The two variables, educational level and diabetic state, are not associated.
H₂: The two variables, educational level and diabetic state, are associated.
The test statistic is.
(Round to three decimal places as needed.)
The P-value is
B. Ho: The variable educational level is dependent upon diabetic state.
H₂: The variable diabetic state is dependent upon educational level.
O C. Ho: The two variables, educational level and diabetic state, are associated.
H₂: The two variables, educational level and diabetic state, are not associated.
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