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 � = 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. ��: Health and happiness have the same distribution��: Health and happiness follow a different distribution ��:Health and happiness are independent��: Health and happiness are dependent 2) Determine the test Statistic. Round your answer to two decimals. �2 = 3) Determine the p-value. Round your answer to four decimals. p-value = 4) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis 5) Pick a conclusion. There is not sufficient evidence to support the claim that health and happiness are related There is 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 � = 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.

��: Health and happiness have the same distribution
��: Health and happiness follow a different distribution
��:Health and happiness are independent
��: Health and happiness are dependent

2) Determine the test Statistic. Round your answer to two decimals.

�2 =

3) Determine the p-value. Round your answer to four decimals.

p-value =

4) Make a decision.

Fail to reject the null hypothesis
Reject the null hypothesis

5) Pick a conclusion.

There is not sufficient evidence to support the claim that health and happiness are related
There is sufficient evidence to support the claim that health and happiness are related

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