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 a = 0.05 level of significance. Health Excellent Good Fair Poor Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Happiness Not Too 33 103 92 36 Нарру "Source: General Social Survey a. Determine the null and alternative hypotheses. O Ho: Health and happiness have the same distribution. Ha: Health and happiness follow a different distribution. O Ho: Health and happiness are independent. Ha: Health and happiness are dependent. b. Determine the x² test statistic. Round to two decimal places. x? - c. Determine the p-value. Round to four decimal places. p-value -

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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 a = 0.05 level of significance.
Health
Excellent
Good
Fair
Рoor
Very Happy
271
261
82
20
Pretty Hаppy
247
567
231
53
Happiness
Not Too
33
103
92
36
Наррy
*Source: General Social Survey
a. Determine the null and alternative hypotheses.
O Ho: Health and happiness have the same distribution.
Ha: Health and happiness follow a different distribution.
Ho: Health and happiness are independent.
Ha: Health and happiness are dependent.
b. Determine the x test statistic. Round to two decimal places.
x =
c. Determine the p-value. Round to four decimal places.
p-value
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 whether health and happiness level are related. Test the researcher's claim at the a = 0.05 level of significance. Health Excellent Good Fair Рoor Very Happy 271 261 82 20 Pretty Hаppy 247 567 231 53 Happiness Not Too 33 103 92 36 Наррy *Source: General Social Survey a. Determine the null and alternative hypotheses. O Ho: Health and happiness have the same distribution. Ha: Health and happiness follow a different distribution. Ho: Health and happiness are independent. Ha: Health and happiness are dependent. b. Determine the x test statistic. Round to two decimal places. x = c. Determine the p-value. Round to four decimal places. p-value
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