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. 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. O C. 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 Critical Values of x²: Reject Ho Only If > Critical Value Table size (rows x columns) Female Male 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 Yes Done No - 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 = 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. 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. O C. 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 Critical Values of x²: Reject Ho Only If > Critical Value Table size (rows x columns) Female Male 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 Yes Done No - X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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