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. OH.: Health and happiness have the same distribution Ha: Health and happiness follow a different distribution O H.: Health and happiness are independent Ha: Health and happiness are dependent 2) Determine the test Statistic. Round your answer to two decimals. x - 3) Determine the p-value. Round your answer to four decimals. p-value = 4) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis 5) Pick a conclusion. O 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 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
Pretty Happy
Not Too Happy
271
261
82
20
247
567 231
53
33
103
92
36
*Source: General Social Survey
1) Determine the null and alternative hypotheses. Select the correct pair.
O H.: Health and happiness have the same distribution
Ha: Health and happiness follow a different distribution
OH.: Health and happiness are independent
Ha: 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.
O Reject the null hypothesis
O Fail to 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
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 Pretty Happy Not Too Happy 271 261 82 20 247 567 231 53 33 103 92 36 *Source: General Social Survey 1) Determine the null and alternative hypotheses. Select the correct pair. O H.: Health and happiness have the same distribution Ha: Health and happiness follow a different distribution OH.: Health and happiness are independent Ha: 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. O Reject the null hypothesis O Fail to 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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