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One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. a. At the 0.05 level of significance, is there evidence of a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs? Let group 1 be the organizations with 500 to 2,499 employees, and let group 2 be the organizations with 10,000 or more employees. State the null and alternative hypotheses. Choose the correct answer below. OB. Ho: 2 H: 2 OA Ho: , >z H: , Sz2 OD. Ho: < H: , 22 OC. Hg: 2 H: =2 OE H: , 2z2 OF. Ho: SE2 H: , <2 Calculate the test statistic. STAT O (Round to three decimal places as needed.) Determine the critical value. The critical value is- (Round to three decimal places as needed.) State the conclusion. V the null hypothesis. There is v evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more ith nenn n the nennntinn that ntantinn en me Click to solect vour answerls)

One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. a. At the 0.05 level of significance, is there evidence of a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs? Let group 1 be the organizations with 500 to 2,499 employees, and let group 2 be the organizations with 10,000 or more employees. State the null and alternative hypotheses. Choose the correct answer below. OB. Ho: 2 H: 2 OA Ho: , >z H: , Sz2 OD. Ho: < H: , 22 OC. Hg: 2 H: =2 OE H: , 2z2 OF. Ho: SE2 H: , <2 Calculate the test statistic. STAT O (Round to three decimal places as needed.) Determine the critical value. The critical value is- (Round to three decimal places as needed.) State the conclusion. V the null hypothesis. There is v evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more ith nenn n the nennntinn that ntantinn en me Click to solect vour answerls)

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
Section10.2: Representing Data
Problem 22PFA
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One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. The critical value is (Round to three decimal places as needed.) State the conclusion. the null hypothesis. There is evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee retention programs. b. Find the p-value in (a) and interpret its meaning. The p-value is : (Round to three decimal places as needed.) Interpret the p-value. the is equal to the p-value if there is no difference between the population proportions of organizations The probability of obtaining a difference in proportions that gives rise to a test statistic with 500-2,499 employees and organizations with 10,000 or more employees that have employee retention programs. c. An earlier Z-test for the difference between two proportions in part (a) resulted in a test statistic of ZSTAT = - 5.48 against critical values of - 1.96 and 1.96, with a p-value of 0.000. Compare the results of (a) and (b) to the results of the Z-tests. A. The chi-square test concluded that the null hypothesis should be rejected, while the Z-test concluded that the null hypothesis should not be rejected. B. Both tests agree that the null hypothesis should not be rejected. C. Both tests agree that the null hypothesis should be rejected. D. The chi-square test concluded that the null hypothesis should not be rejected, while the Z-test concluded that the null hypothesis should be rejected. O E. The tests cannot be compared since the Z-test was a one-tail test, while the chi-square test was a two-tail test. Click to select your answer(s). MacBook Air DIL 20 FA LEO
Transcribed Image Text:One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. The critical value is (Round to three decimal places as needed.) State the conclusion. the null hypothesis. There is evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee retention programs. b. Find the p-value in (a) and interpret its meaning. The p-value is : (Round to three decimal places as needed.) Interpret the p-value. the is equal to the p-value if there is no difference between the population proportions of organizations The probability of obtaining a difference in proportions that gives rise to a test statistic with 500-2,499 employees and organizations with 10,000 or more employees that have employee retention programs. c. An earlier Z-test for the difference between two proportions in part (a) resulted in a test statistic of ZSTAT = - 5.48 against critical values of - 1.96 and 1.96, with a p-value of 0.000. Compare the results of (a) and (b) to the results of the Z-tests. A. The chi-square test concluded that the null hypothesis should be rejected, while the Z-test concluded that the null hypothesis should not be rejected. B. Both tests agree that the null hypothesis should not be rejected. C. Both tests agree that the null hypothesis should be rejected. D. The chi-square test concluded that the null hypothesis should not be rejected, while the Z-test concluded that the null hypothesis should be rejected. O E. The tests cannot be compared since the Z-test was a one-tail test, while the chi-square test was a two-tail test. Click to select your answer(s). MacBook Air DIL 20 FA LEO
One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. a. At the 0.05 level of significance, is there evidence of a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs? Let group 1 be the organizations with 500 to 2,499 employees, and let group 2 be the organizations with 10,000 or more employees. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: T1 > T2 O B. Ho:q =T2 OC. Ho:Iq #Thz O D. Ho: q <T2 E. Ho: T1 212 O F. Ho: T1 STR2 12< ןת : ,H Calculate the test statistic. XSTAT (Round to three decimal places as needed.) %3D Determine the critical value. The critical value is (Round to three decimal places as needed.) State the conclusion. the null hypothesis. There is evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more emplovees with respect to the pronortion that have emplovee retention proarams Click to select your answer(s). MacBook Alr
Transcribed Image Text:One strategy that may have an impact on employee retention, turnover and engagement is a successful employee recognition program. Surveying small organizations, those with 500 to 2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 301 (72%) of the 417 small organizations have employee retention programs as compared to 173 (92%) of the 188 large organizations. Complete parts (a) through (c) below. a. At the 0.05 level of significance, is there evidence of a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more employees with respect to the proportion that have employee recognition programs? Let group 1 be the organizations with 500 to 2,499 employees, and let group 2 be the organizations with 10,000 or more employees. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: T1 > T2 O B. Ho:q =T2 OC. Ho:Iq #Thz O D. Ho: q <T2 E. Ho: T1 212 O F. Ho: T1 STR2 12< ןת : ,H Calculate the test statistic. XSTAT (Round to three decimal places as needed.) %3D Determine the critical value. The critical value is (Round to three decimal places as needed.) State the conclusion. the null hypothesis. There is evidence at the 0.05 level of significance to conclude that there is a significant difference between organizations with 500 to 2,499 employees and organizations with 10,000 or more emplovees with respect to the pronortion that have emplovee retention proarams Click to select your answer(s). MacBook Alr
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