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 Happy *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 x test statistic. Round to two decimal places. c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that health and happiness are related. O There is sufficient evidence to support the claim that health and happiness are related.

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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
Poor
Very Happy
271
261
82
20
Pretty Happy
247
567
231
53
Happiness
Not Too
33
103
92
36
Нарру
1Source: 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 X test statistic. Round to two decimal places.
X =
c. Determine the p-value. Round to four decimal places.
p-value =
d. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
e. Make a conclusion.
O There is not sufficient evidence to support the claim that health and happiness are related.
OThere is sufficient evidence to support the claim that health and happiness are related.
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 Poor Very Happy 271 261 82 20 Pretty Happy 247 567 231 53 Happiness Not Too 33 103 92 36 Нарру 1Source: 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 X test statistic. Round to two decimal places. X = c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that health and happiness are related. OThere is sufficient evidence to support the claim that health and happiness are related.
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