31. A survey of 120 randomly selected married couples asked each partner to rate how often they dine out as a couple. The results are presented below with expected counts in parentheses. Wife's Response Never or Fairly Often Very Often Occasionally Almost Always Never or occasionally 14 (8.78) 12 (9.04) 2 (7.75) 3 (5.43) Fairly Often Husband's 7 (8.50) 10 (8.75) 6 (7.50) 7 (5.25) Response Very Often 9 (8.22) 4 (8.46) 10 (7.25) 6 (5.08) Almost 4 (8.50) 9 (8.75) 12 (7.50) 5 (5.25) Always In testing to see if there is evidence of an association between the ratings of husbands and wives, a chi-square test statistic of 19.48 was calculated. Which of the following statements is correct? (A) The data prove the couples' ratings are associated. (B) The data prove the couples' ratings are not associated. (C) There is sufficient evidence to suggest the couples' ratings are associated at the 5% significance level but not at the 1% significance level. (D) There is sufficient evidence to suggest the couples' ratings are associated at the 1% significance level. (E) The chi-square test should not have been used because four of the observed counts are less than 5.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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31. A survey of 120 randomly selected married couples asked each partner to rate how often they dine
out as a couple. The results are presented below with expected counts in parentheses.
Wife's Response
Never or
Fairly Often
Very Often
Occasionally
Almost
Always
Never or
occasionally
14 (8.78)
12 (9.04)
2 (7.75)
3 (5.43)
Fairly Often
Husband's
7 (8.50)
10 (8.75)
6 (7.50)
7 (5.25)
Response
Very Often
9 (8.22)
4 (8.46)
10 (7.25)
6 (5.08)
Almost
4 (8.50)
9 (8.75)
12 (7.50)
5 (5.25)
Always
In testing to see if there is evidence of an association between the ratings of husbands and wives, a
chi-square test statistic of 19.48 was calculated. Which of the following statements is correct?
(A) The data prove the couples' ratings are associated.
(B) The data prove the couples' ratings are not associated.
(C) There is sufficient evidence to suggest the couples' ratings are associated at the 5% significance
level but not at the 1% significance level.
(D) There is sufficient evidence to suggest the couples' ratings are associated at the 1% significance level.
(E) The chi-square test should not have been used because four of the observed counts are less than 5.
Transcribed Image Text:31. A survey of 120 randomly selected married couples asked each partner to rate how often they dine out as a couple. The results are presented below with expected counts in parentheses. Wife's Response Never or Fairly Often Very Often Occasionally Almost Always Never or occasionally 14 (8.78) 12 (9.04) 2 (7.75) 3 (5.43) Fairly Often Husband's 7 (8.50) 10 (8.75) 6 (7.50) 7 (5.25) Response Very Often 9 (8.22) 4 (8.46) 10 (7.25) 6 (5.08) Almost 4 (8.50) 9 (8.75) 12 (7.50) 5 (5.25) Always In testing to see if there is evidence of an association between the ratings of husbands and wives, a chi-square test statistic of 19.48 was calculated. Which of the following statements is correct? (A) The data prove the couples' ratings are associated. (B) The data prove the couples' ratings are not associated. (C) There is sufficient evidence to suggest the couples' ratings are associated at the 5% significance level but not at the 1% significance level. (D) There is sufficient evidence to suggest the couples' ratings are associated at the 1% significance level. (E) The chi-square test should not have been used because four of the observed counts are less than 5.
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