Question Help ▼ The table shows the results of a cross tabulation of gender and whether a person is happy in his or her marriage, according to data obtained from the a 2008 survey. Complete parts a through c below. Happiness Very Наpрy Нарру Нарру 290 496 Not Pretty Gender Total Females Expected Count 20 186 16.02 177.73 302.25 Males 11 158 295 464 Expected Count 14.98 166.27 282.75 Total -31 344 585 960 a. If we carry out a test to determine whether these variables are associated, is thisstest of independence, homogeneity, or goodness of fit? goodness of fit O independence O homogeneity b. Do a chi-square test with a significance level of 0.05 to determine whether gender and happiness of marriage are associated. Assume that the conditions for the chi-square test have been met. Choose the correct null hypothesis (Ho) and alternative hypothesis (Ha). O A. Ho: Gender and happiness are independent. H Gender and happiness are associated. O B. Ho: Gender and happiness have a p-value = 0.05. Click to select your answer(s). Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy Permissions | Contact Us 近

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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How do you find the chi square test statistic & the p value?
Question Help ▼
The table shows the results of a cross tabulation of gender and whether a person is happy in his or her
marriage, according to data obtained from the a 2008 survey.
Complete parts a through c below.
Happiness
Very
Наpрy Нарру Нарру
290
496
Not
Pretty
Gender
Total
Females
Expected
Count
Males
Expected
Count
20
186
16.02
177.73
302.25
11
158
295
464
14.98
166.27
282.75
Total
-31
344
585
960
a. If we carry out a test to determine whether these variables are associated, is thisstest of independence, homogeneity, or goodness of fit?
goodness of fit
O independence
O homogeneity
b. Do a chi-square test with a significance level of 0.05 to determine whether gender and happiness of marriage are associated. Assume that the conditions for the
chi-square test have been met.
Choose the correct null hypothesis (Ho) and alternative hypothesis (Ha).
O A. Ho: Gender and happiness are independent.
H Gender and happiness are associated.
O B. Ho: Gender and happiness have a p-value = 0.05.
Click to select your answer(s).
Pearson
Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us
近
Transcribed Image Text:Question Help ▼ The table shows the results of a cross tabulation of gender and whether a person is happy in his or her marriage, according to data obtained from the a 2008 survey. Complete parts a through c below. Happiness Very Наpрy Нарру Нарру 290 496 Not Pretty Gender Total Females Expected Count Males Expected Count 20 186 16.02 177.73 302.25 11 158 295 464 14.98 166.27 282.75 Total -31 344 585 960 a. If we carry out a test to determine whether these variables are associated, is thisstest of independence, homogeneity, or goodness of fit? goodness of fit O independence O homogeneity b. Do a chi-square test with a significance level of 0.05 to determine whether gender and happiness of marriage are associated. Assume that the conditions for the chi-square test have been met. Choose the correct null hypothesis (Ho) and alternative hypothesis (Ha). O A. Ho: Gender and happiness are independent. H Gender and happiness are associated. O B. Ho: Gender and happiness have a p-value = 0.05. Click to select your answer(s). Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us 近
Question Help
The table shows the results of a cross tabulation of gender and whether a person is happy in his or her
marriage, according to data obtained from the a 2008 survey.
Complete parts a through c below.
Happiness
Very
Нарру Нарру Нарру
290
Not
Pretty
Gender
Total
Fernales
20
186
496
Expected
Count
16.02
177.73
302.25
Males
Expected
Count
11
158
295
464
14.98
166.27 282.75
Total
31
344
585
960
O B. Ho: Gender and happiness have a p-value = 0.05.
H: Gender and happiness have a p-value # 0.05.
O C. Ho: Gender and happiness are associated.
H: Gender and happiness are independent.
O D. Ho: Gender and happiness have equal proportions.
H: Gender and happiness have non-equal proportions.
Calculate the chi-square test statistic.
X = (Round to three decimal places as needed.)
Determine the p-value.
p-value = (Round to three decimal places as needed.)
Click to select your answer(s).
P Pearson
Copyright © 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contac
Transcribed Image Text:Question Help The table shows the results of a cross tabulation of gender and whether a person is happy in his or her marriage, according to data obtained from the a 2008 survey. Complete parts a through c below. Happiness Very Нарру Нарру Нарру 290 Not Pretty Gender Total Fernales 20 186 496 Expected Count 16.02 177.73 302.25 Males Expected Count 11 158 295 464 14.98 166.27 282.75 Total 31 344 585 960 O B. Ho: Gender and happiness have a p-value = 0.05. H: Gender and happiness have a p-value # 0.05. O C. Ho: Gender and happiness are associated. H: Gender and happiness are independent. O D. Ho: Gender and happiness have equal proportions. H: Gender and happiness have non-equal proportions. Calculate the chi-square test statistic. X = (Round to three decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.) Click to select your answer(s). P Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contac
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