MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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N 20
The following data represent the level of happiness and level of health for a random sample of individuals
from the General Social Survey. A researcher wants to determine if health and happiness level are related.
Use the a = 0.05 level of significance to test the claim.
Health
Excellent
Good Fair Poor
Very Happy
271
261 82 20
Pretty Happy
247
567 231 53
Not Too Happy
33
103 92 36
*Source: General Social Survey
1) Determine the null and alternative hypotheses. Select the correct pair.
O Ho: Health and happiness have the same distribution
H₁: Health and happiness follow a different distribution
OH,: Health and happiness are independent
H₂: Health and happiness are dependent
2) Determine the test Statistic. Round your answer to two decimals.
x².
3) Determine the p-value. Round your answer to four decimals.
p-value=
4) Make a decision.
Fail to reject the null hypothesis
O Reject the null hypothesis
5) Pick a conclusion.
There is sufficient evidence to support the claim that health and happiness are related
O There is not sufficient evidence to support the claim that health and happiness are related
=
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Transcribed Image Text:The following data represent the level of happiness and level of health for a random sample of individuals from the General Social Survey. A researcher wants to determine if health and happiness level are related. Use the a = 0.05 level of significance to test the claim. Health Excellent Good Fair Poor Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Not Too Happy 33 103 92 36 *Source: General Social Survey 1) Determine the null and alternative hypotheses. Select the correct pair. O Ho: Health and happiness have the same distribution H₁: Health and happiness follow a different distribution OH,: Health and happiness are independent H₂: Health and happiness are dependent 2) Determine the test Statistic. Round your answer to two decimals. x². 3) Determine the p-value. Round your answer to four decimals. p-value= 4) Make a decision. Fail to reject the null hypothesis O Reject the null hypothesis 5) Pick a conclusion. There is sufficient evidence to support the claim that health and happiness are related O There is not sufficient evidence to support the claim that health and happiness are related =
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