2,499 employees, and large organizations, those with 10,000 or more employees, a survey organization showed that 317 (77%) of the 410 small organizations have employ etention programs as compared to 148 (89%) of the 167 large organizations. Complete parts (a) through (c) below. 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 em with respect to the proportion that have employee recognition programs? etermine the null and alternative hypotheses, where is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and opulation proportion of organizations with 10,000 or more employees with employee recognition programs. Choose the correct answer below. A. Ho: #1 = 2 H₂:1>#₂ C. Ho: 1 = 2 H₂: #₁ #₂ etermine the value of the test statistic. OB. Ho: 12 Н1:1 <12 OD. Ho: 1*₂ H₁:₁=₂

MATLAB: An Introduction with Applications
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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 317 (77%) of the 410 small organizations have employee retention programs as compared to 148 (89%) of the 167 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?

Determine the null and alternative hypotheses, where \( p_1 \) is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and \( p_2 \) is the population proportion of organizations with 10,000 or more employees with employee recognition programs. Choose the correct answer below.

- A. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 > p_2 \)  

- B. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 < p_2 \)  

- C. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 \neq p_2 \)  

- D. \( H_0: p_1 \neq p_2 \)  
  \( H_1: p_1 = p_2 \)  

The correct answer is **C**.

Determine the value of the test statistic.

\[ Z_{\text{STAT}} = \] (Round to two decimal places as needed.)
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 317 (77%) of the 410 small organizations have employee retention programs as compared to 148 (89%) of the 167 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? Determine the null and alternative hypotheses, where \( p_1 \) is the population proportion of organizations with 500 to 2,499 employees with employee recognition programs and \( p_2 \) is the population proportion of organizations with 10,000 or more employees with employee recognition programs. Choose the correct answer below. - A. \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - B. \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - C. \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - D. \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) The correct answer is **C**. Determine the value of the test statistic. \[ Z_{\text{STAT}} = \] (Round to two decimal places as needed.)
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