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.
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.
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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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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