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 Pretty Нарру Нарру Нарру 190 Gender Not Very Total 290 496 Females Expected Count Males Expected Count Total 16 13.86 179.71 302.43 11 160 299 470 13.14 170.29 286.57 27 350 589 966 a. If we carry out a test to determine whether these variables are associated, is this a test of independence, homogeneity, or goodness of fit? O independence O goodness of fit 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 (H) and alternative hypothesis (H,). O A. Ho: Gender and happiness have equal proportions. H: Gender and happiness have non-equal proportions. O B. Ho: Gender and happiness are independent. H: Gender and happiness are associated.

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i attach part A and B in pics and Part 3 here
Part C. Does this suggest that women and men tend to have different levels of happiness or that their rates of happiness in marriage are about​ equal?
 
 
A.
The rate of happiness in marriage has been found to be significantly higher in women.
 
B.
No conclusion can be made about the different levels of happiness in marriage based on this test.
 
C.
The rate of happiness in marriage has not been found to be significantly different for men and women.
 
D.
The rate of happiness in marriage has been found to be significantly higher in men.
UC. no. Gender anu ilappiiess fnave a p-vaiue - U.03.
H3: Gender and happiness have a p-value 0.05.
O D. H9: Gender and happiness are associated.
H3: Gender and happiness are independent.
Calculate the chi-square test statistic.
x2 =
(Round to three decimal places as needed.)
Determine the p-value.
p-value =
(Round to three decimal places as needed.)
Use the p-value found above to form a conclusion.
O A. Reject H, and do not conclude that gender and happiness are associated.
O B. Reject H, and conclude that gender and happiness are associated.
OC. Fail to reject H, and do not conclude that gender and happiness are associated.
O D. Fail to reject H, and conclude that gender and happiness are associated.
c. Does this suggest that women and men tend to have different levels of happiness or that their rates of happiness in marriage are about equal?
Transcribed Image Text:UC. no. Gender anu ilappiiess fnave a p-vaiue - U.03. H3: Gender and happiness have a p-value 0.05. O D. H9: Gender and happiness are associated. H3: Gender and happiness are independent. Calculate the chi-square test statistic. x2 = (Round to three decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.) Use the p-value found above to form a conclusion. O A. Reject H, and do not conclude that gender and happiness are associated. O B. Reject H, and conclude that gender and happiness are associated. OC. Fail to reject H, and do not conclude that gender and happiness are associated. O D. Fail to reject H, and conclude that gender and happiness are associated. c. Does this suggest that women and men tend to have different levels of happiness or that their rates of happiness in marriage are about equal?
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
Gender
Not
Pretty
Very
Total
Наpрy Нарру Наррy
290
Females
Expected
Count
16
190
496
13.86
179.71
302.43
Males
11
160
299
470
Expected
Count
13.14
170.29
286.57
Total
27
350
589
966
a. If we carry out a test to determine whether these variables are associated, is this a test of independence, homogeneity, or goodness of fit?
independence
goodness of fit
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 (H,) and alternative hypothesis (H,)
O A. Ho: Gender and happiness have equal proportions.
Ha: Gender and happiness have non-equal proportions.
O B. Ho: Gender and happiness are independent.
H3: Gender and happiness are associated.
Transcribed Image Text: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 Gender Not Pretty Very Total Наpрy Нарру Наррy 290 Females Expected Count 16 190 496 13.86 179.71 302.43 Males 11 160 299 470 Expected Count 13.14 170.29 286.57 Total 27 350 589 966 a. If we carry out a test to determine whether these variables are associated, is this a test of independence, homogeneity, or goodness of fit? independence goodness of fit 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 (H,) and alternative hypothesis (H,) O A. Ho: Gender and happiness have equal proportions. Ha: Gender and happiness have non-equal proportions. O B. Ho: Gender and happiness are independent. H3: Gender and happiness are associated.
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