Find the value of the chi-square test statistic for the goodness-of-fit test. According to recent research, the distribution of the number of children per family in the U.S. is shown in the first accompanying table. A random sample of 700 families with both parents under 40 yielded the data in the second accompanying table. You wish to test the claim that the distribution of the number of children per family for families with both parents under 40 is the same as that of the U.S. as a whole. What is the value of the x² test statistic? Note that the expected frequencies are as follows: more than 3 children: 142.1; 3 children: 149.1; 2 children: 101.5; one child: 112.7; 0 children: 194.6.

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OA. ²=47.674
OB.x²=13.781
OC. x²=80.807
OD. x² = 32.091
Transcribed Image Text:OA. ²=47.674 OB.x²=13.781 OC. x²=80.807 OD. x² = 32.091
Find the value of the chi-square test statistic for the goodness-of-fit test. According to recent research, the
distribution of the number of children per family in the U.S. is shown in the first accompanying table. A
random sample of 700 families with both parents under 40 yielded the data in the second accompanying
table. You wish to test the claim that the distribution of the number of children per family for families with
both parents under 40 is the same as that of the U.S. as a whole. What is the value of the x² test
statistic? Note that the expected frequencies are as follows: more than 3 children: 142.1;
3 children: 149.1; 2 children: 101.5; one child: 112.7; 0 children: 194.6.
Click the icon to view the data tables.
Data Tables
Number of children
More than 3
3
2
1
0
Percent
20.3
21.3
14.5
16.1
27.8
Number of children Number of families
More than 3
3
2
1
0
154
196
46
101
203
X
Transcribed Image Text:Find the value of the chi-square test statistic for the goodness-of-fit test. According to recent research, the distribution of the number of children per family in the U.S. is shown in the first accompanying table. A random sample of 700 families with both parents under 40 yielded the data in the second accompanying table. You wish to test the claim that the distribution of the number of children per family for families with both parents under 40 is the same as that of the U.S. as a whole. What is the value of the x² test statistic? Note that the expected frequencies are as follows: more than 3 children: 142.1; 3 children: 149.1; 2 children: 101.5; one child: 112.7; 0 children: 194.6. Click the icon to view the data tables. Data Tables Number of children More than 3 3 2 1 0 Percent 20.3 21.3 14.5 16.1 27.8 Number of children Number of families More than 3 3 2 1 0 154 196 46 101 203 X
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