Assume that a yes/no survey question is presented to a simple random sample of male and female subjects and the results are summarized in a two-way table with the format of the table to the right. Use the given value of the x² test statistic and the given significance level to test for ndependence between gender and response. Test statistic: x²= 3.828; significance level: 0.05 Click the icon to view the critical values of x² table. Choose the correct hypotheses below. OA. Ho: There is a relationship between gender and response. Ha: There is no relationship between gender and response. OB. Ho: There is no relationship between gender and response. H₂: There is a relationship between gender and response. Find the critical value of x². (Round to three decimal places as needed.) State the conclusion. OA. Reject the null hypothesis. Gender and response do not appear to be related. OB. Reject the null hypothesis. Gender and response do appear to be related. OC. Do not reject the null hypothesis. Gender and response do not appear to be related. O D. Do not reject the null hypothesis. Gender and response do appear to be related. ... Female Male Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Critical values of chi-square
Critical Values of x²: Reject
Ho Only If x² > Critical Value
Table size
(rows x columns)
2 x 2
2 x 3 or 3 x 2
3 x 3
2 x 4 or 4 x 2
2 x 5 or 5 x 2
Significance level
0.01
0.05
3.841
5.991
9.488
7.815
9.488
6.635
9.210
13.277
11.345
13.277
X
Transcribed Image Text:Critical values of chi-square Critical Values of x²: Reject Ho Only If x² > Critical Value Table size (rows x columns) 2 x 2 2 x 3 or 3 x 2 3 x 3 2 x 4 or 4 x 2 2 x 5 or 5 x 2 Significance level 0.01 0.05 3.841 5.991 9.488 7.815 9.488 6.635 9.210 13.277 11.345 13.277 X
Assume that a yes/no survey question is presented to a simple random sample of male and female subjects and the results are summarized in
a two-way table with the format of the table to the right. Use the given value of the x² test statistic and the given significance level to test for
independence between gender and response.
Test statistic: x² = 3.828; significance level: 0.05
Click the icon to view the critical values of x² table.
Choose the correct hypotheses below.
O A. Ho: There is a relationship between gender and response.
H₂: There is no relationship between gender and response.
B. Ho: There is no relationship between gender and response.
Ha:
: There is a relationship between gender and response.
Find the critical value of x².
(Round to three decimal places as needed.)
State the conclusion.
A. Reject the null hypothesis. Gender and response do not appear to be related.
B. Reject the null hypothesis. Gender and response do appear to be related.
C.
Do not reject the null hypothesis. Gender and response do not appear to be related.
D. Do not reject the null hypothesis. Gender and response do appear to be related.
Female
Male
Yes
No
Transcribed Image Text:Assume that a yes/no survey question is presented to a simple random sample of male and female subjects and the results are summarized in a two-way table with the format of the table to the right. Use the given value of the x² test statistic and the given significance level to test for independence between gender and response. Test statistic: x² = 3.828; significance level: 0.05 Click the icon to view the critical values of x² table. Choose the correct hypotheses below. O A. Ho: There is a relationship between gender and response. H₂: There is no relationship between gender and response. B. Ho: There is no relationship between gender and response. Ha: : There is a relationship between gender and response. Find the critical value of x². (Round to three decimal places as needed.) State the conclusion. A. Reject the null hypothesis. Gender and response do not appear to be related. B. Reject the null hypothesis. Gender and response do appear to be related. C. Do not reject the null hypothesis. Gender and response do not appear to be related. D. Do not reject the null hypothesis. Gender and response do appear to be related. Female Male Yes No
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