Kris works for the MESA Air Pollution Study at UW, and studies the correlation be-tween air pollution and the disease atherosclerosis. Nationally, 40% of adults suffer fromatherosclerosis. Kris suspects that the proportion of people with atherosclerosis in high-pollution areas is higher. In a random sample of 600 residents of high-pollution areas,he finds that 270 (45%) subjects have atherosclerosis. At the 1% level (α= .01), is thisgood evidence that people in high-pollution areas are more likely to have atherosclerosis? (a) Which of the following is theHa? (research claim or alternate)A.Ha:p≥0.40B.Ha:̂p≥0.40C.Ha:p >0.40D.Ha:̂p >0.40E.Ha:̂p >0.45F.Ha:p >0.45G.Ha:̂p≥0.45H.Ha:p≥0.45I. (b) Which of the following is the correct formula to compute Test Statistic (TS)?A. Z=0.40−0.45√0.45(1−0.45)/600 B. Z =0.45−0.40√0.40(1−0.40)/600 C. Z =0.45−0.40√.45×.55600 D. None of these (c) What is the value of Test Statistic (TS)? (d) What is p-value? (e) ConclusionA. RejectH0B. Fail to rejectH0 (f) InterpretationA. There is enough evidence (from data) in support of KRIS claimB. There is not enough evidence (from data) in support of KRIS claim
Kris works for the MESA Air Pollution Study at UW, and studies the correlation be-tween air pollution and the disease atherosclerosis. Nationally, 40% of adults suffer fromatherosclerosis. Kris suspects that the proportion of people with atherosclerosis in high-pollution areas is higher. In a random sample of 600 residents of high-pollution areas,he finds that 270 (45%) subjects have atherosclerosis. At the 1% level (α= .01), is thisgood evidence that people in high-pollution areas are more likely to have atherosclerosis? (a) Which of the following is theHa? (research claim or alternate)A.Ha:p≥0.40B.Ha:̂p≥0.40C.Ha:p >0.40D.Ha:̂p >0.40E.Ha:̂p >0.45F.Ha:p >0.45G.Ha:̂p≥0.45H.Ha:p≥0.45I. (b) Which of the following is the correct formula to compute Test Statistic (TS)?A. Z=0.40−0.45√0.45(1−0.45)/600 B. Z =0.45−0.40√0.40(1−0.40)/600 C. Z =0.45−0.40√.45×.55600 D. None of these (c) What is the value of Test Statistic (TS)? (d) What is p-value? (e) ConclusionA. RejectH0B. Fail to rejectH0 (f) InterpretationA. There is enough evidence (from data) in support of KRIS claimB. There is not enough evidence (from data) in support of KRIS claim
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Kris works for the MESA Air Pollution Study at UW, and studies the correlation be-tween air pollution and the disease atherosclerosis. Nationally, 40% of adults suffer fromatherosclerosis. Kris suspects that the proportion of people with atherosclerosis in high-pollution areas is higher. In a random sample of 600 residents of high-pollution areas,he finds that 270 (45%) subjects have atherosclerosis. At the 1% level (α= .01), is thisgood evidence that people in high-pollution areas are more likely to have atherosclerosis?
(a) Which of the following is theHa? (research claim or alternate)A.Ha:p≥0.40B.Ha:̂p≥0.40C.Ha:p >0.40D.Ha:̂p >0.40E.Ha:̂p >0.45F.Ha:p >0.45G.Ha:̂p≥0.45H.Ha:p≥0.45I.
(b) Which of the following is the correct formula to compute Test Statistic (TS)?A. Z=0.40−0.45√0.45(1−0.45)/600 B. Z =0.45−0.40√0.40(1−0.40)/600 C. Z =0.45−0.40√.45×.55600 D. None of these
(c) What is the value of Test Statistic (TS)?
(d) What is p-value?
(e) ConclusionA. RejectH0B. Fail to rejectH0
(f) InterpretationA. There is enough evidence (from data) in support of KRIS claimB. There is not enough evidence (from data) in support of KRIS claim
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