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=6.362; significance level: 0.05 Click the icon to view the critical values of x² table. Choose the correct hypotheses below. OA. Ho: There is no relationship between gender and response. H₂: There is a relationship between gender and response. OB. Ho: There is a relationship between gender and response. H₂: There is no relationship between gender and response. Find the critical value of x². (Round to three decimal places as needed.) State the conclusion. O A. Do not reject the null hypothesis. Gender and response do appear to be related. OB. Reject the null hypothesis. Gender and response do not appear to be related. OC. Reject the null hypothesis. Gender and response do appear to be related. O D. Do not reject the null hypothesis. Gender and response do not appear to be related. Critical values of chi-square Female Male Critical Values of x²: Reject Ho Only If > Critical Value Table size (rows x columns) 2x2 2 x 3 or 3 x 2 3 x 3 2 x 4 or 4 x 2 2 x 5 or 5 x 2 Print Significance level 0.01 6.635 9.210 13.277 11.345 13.277 0.05 3.841 5.991 9.488 7.815 9.488 Done Yes - X No
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=6.362; significance level: 0.05 Click the icon to view the critical values of x² table. Choose the correct hypotheses below. OA. Ho: There is no relationship between gender and response. H₂: There is a relationship between gender and response. OB. Ho: There is a relationship between gender and response. H₂: There is no relationship between gender and response. Find the critical value of x². (Round to three decimal places as needed.) State the conclusion. O A. Do not reject the null hypothesis. Gender and response do appear to be related. OB. Reject the null hypothesis. Gender and response do not appear to be related. OC. Reject the null hypothesis. Gender and response do appear to be related. O D. Do not reject the null hypothesis. Gender and response do not appear to be related. Critical values of chi-square Female Male Critical Values of x²: Reject Ho Only If > Critical Value Table size (rows x columns) 2x2 2 x 3 or 3 x 2 3 x 3 2 x 4 or 4 x 2 2 x 5 or 5 x 2 Print Significance level 0.01 6.635 9.210 13.277 11.345 13.277 0.05 3.841 5.991 9.488 7.815 9.488 Done Yes - X No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 = 6.362; 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 no relationship between gender and response.
Ha:
: There is a relationship between gender and response.
B. Ho: There is a relationship between gender and response.
Ha:
: There is no relationship between gender and response.
Find the critical value of x².
(Round to three decimal places as needed.)
State the conclusion.
A. Do not reject the null hypothesis. Gender and response do appear to be related.
B. Reject the null hypothesis. Gender and response do not appear to be related.
C. Reject the null hypothesis. Gender and response do appear to be related.
D. Do not reject the null hypothesis. Gender and response do not appear to be related.
Critical values of chi-square
Female
Male
Critical Values of x²: Reject
Ho Only If x² > Critical Value
Table size
(rows x columns)
2x2
2 x 3 or 3 x 2
3 x 3
2 x 4 or 4 x 2
2 x 5 or 5 x 2
Print
Significance level
0.01
6.635
9.210
13.277
11.345
13.277
0.05
3.841
5.991
9.488
7.815
9.488
Done
Yes
I
X
No
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