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 whether health and happiness level are related. Test the researcher's claim at the αα = 0.05 level of significance. Health Excellent Good Fair Poor Happiness Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Not Too Happy 33 103 92 36 *Source: General Social Survey Determine the null and alternative hypotheses. H0: Health and happiness have the same distribution. Ha: Health and happiness follow a different distribution. H0:Health and happiness are independent. Ha: Health and happiness are dependent. Determine the χ2 test statistic. Round to two decimal places. χ2 = Determine the pp-value. Round to four decimal places. p-value = Make a conclusion. There is sufficient evidence to support the claim that health and happiness are related. There is not sufficient evidence to support the claim that health and happiness are related.
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 whether health and happiness level are related. Test the researcher's claim at the αα = 0.05 level of significance. Health Excellent Good Fair Poor Happiness Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Not Too Happy 33 103 92 36 *Source: General Social Survey Determine the null and alternative hypotheses. H0: Health and happiness have the same distribution. Ha: Health and happiness follow a different distribution. H0:Health and happiness are independent. Ha: Health and happiness are dependent. Determine the χ2 test statistic. Round to two decimal places. χ2 = Determine the pp-value. Round to four decimal places. p-value = Make a conclusion. There is sufficient evidence to support the claim that health and happiness are related. There is not sufficient evidence to support the claim that health and happiness are related.
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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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 whether health and happiness level are related. Test the researcher's claim at the αα = 0.05 level of significance.
Health | |||||
Excellent | Good | Fair | Poor | ||
Happiness |
Very Happy | 271 | 261 | 82 | 20 |
Pretty Happy | 247 | 567 | 231 | 53 | |
Not Too Happy | 33 | 103 | 92 | 36 |
*Source: General Social Survey
Determine the null and alternative hypotheses.
- H0: Health and happiness have the same distribution.
Ha: Health and happiness follow a different distribution. - H0:Health and happiness are independent.
Ha: Health and happiness are dependent.
- Determine the χ2 test statistic. Round to two decimal places.
χ2 = - Determine the pp-value. Round to four decimal places.
p-value = -
- Make a conclusion.
- There is sufficient evidence to support the claim that health and happiness are related.
- There is not sufficient evidence to support the claim that health and happiness are related.
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