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The cross-tabulation data given below represent the number of males and females in a work group who feel overstressed and those who don't. Complete parts a through d below Overstressed? Female No Yes 10 6 Male 5 11 a. Write the hypotheses for the chi-square test for independence. Ho gender and overstress are independent H₁ gender and overstress are dependent b. Find the expected frequencies. Overstressed? Female Male Grand Total No 7.5 7.5 15 Yes 8.5 8.5 17 Grand Total 16 16 32 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 3.14 (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value. (Round to three decimal places as needed.)

The cross-tabulation data given below represent the number of males and females in a work group who feel overstressed and those who don't. Complete parts a through d below Overstressed? Female No Yes 10 6 Male 5 11 a. Write the hypotheses for the chi-square test for independence. Ho gender and overstress are independent H₁ gender and overstress are dependent b. Find the expected frequencies. Overstressed? Female Male Grand Total No 7.5 7.5 15 Yes 8.5 8.5 17 Grand Total 16 16 32 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 3.14 (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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The cross-tabulation data given below represent the number of males and females in a work group who feel overstressed and those who don't. Complete parts a through d below. Overstressed? Female Male No Yes 10 6 5 11 a. Write the hypotheses for the chi-square test for independence. Ho gender and overstress are independent H₁ gender and overstress are dependent b. Find the expected frequencies. Overstressed? Female Male Grand Total No 7.5 7.5 15 Yes 8.5 8.5 17 Grand Total 16 16 32 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic 3.14 (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value (Round to three decimal places as needed.) ad
Transcribed Image Text:The cross-tabulation data given below represent the number of males and females in a work group who feel overstressed and those who don't. Complete parts a through d below. Overstressed? Female Male No Yes 10 6 5 11 a. Write the hypotheses for the chi-square test for independence. Ho gender and overstress are independent H₁ gender and overstress are dependent b. Find the expected frequencies. Overstressed? Female Male Grand Total No 7.5 7.5 15 Yes 8.5 8.5 17 Grand Total 16 16 32 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic 3.14 (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value (Round to three decimal places as needed.) ad
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