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 that346​(79​%)of the 440 small organizations have employee retention programs as compared to 173 (88​%) of the 196 large organizations.  a. At the 0.01 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?   a.Determine the null and alternative​ hypotheses, where π1 is the population proportion of organizations with 500 to​ 2,499 employees with employee recognition programs and π2 is the population proportion of organizations with​ 10,000 or more employees with employee recognition programs. b. Determine the value of the test statistic. Determine the critical​ value(s) for this test of hypothesis. State the conclusion. c.Find the​ p-value in​ (a) and interpret its meaning.

As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find…

5t.  A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site.   Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site?   (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site?   (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)

The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issuesranging from relationships with their bosses to household chores. The data were gathered through hour-longtelephone interview with a nationally representive sample. In response to the questions “What does your job meanto you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be thepopulation proportion of people who receive personal satisfaction from success at work. (a) Find a 95% CI for the true value of p. (b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within1% of the true population proportion.

In a study examining the effect of humor on interpersonal attractions, McGee and Shevlin (2009) foundthat a man’s sense of humor had a significant effect onhow he was perceived by women. In the study, femalecollege students were given brief descriptions of a potential romantic partner and then rated the attractivenessof the male on a scale from 1 (low) to 7 (high). Thefictitious male was described positively as being single,ambitious, and having good job prospects. In one condition, the description also said that he had a great senseof humor. The results showed that the description wasrated significantly higher when “a sense of humor” wasincluded. To further examine this effect, a researcherselected a sample of n = 16 college males and askedthem to read a brief description of a female and thenrate the attractiveness of the woman in the description.The description had been used in previous research butwas modified by adding a statement describing a goodsense of humor. Based on the…

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and employee turnover rate. Moreover, employee surveys are conducted to assess aspects of the organization's culture, such as trust and openness to change. In an attempt to determine what affects turnover rate, a sample of 33 companies was randomly selected, and data were collected on the average annual bonus and turnover rate (%) for 2008. In addition, a questionnaire was administered to the employees of each company to arrive at a trust index (measured on a scale of 0-100). Below are the multiple regression results.   Predictor Coef SE Coef T P R-square Constant 12.1005 0.7826 15.46 0.000 79.6% Trust Index -0.07149 0.01966 -3.64 0.001   Average Bonus -0.0007216 0.0001481 -4,87 0.000       The correct null hypotheses for testing the regression coefficient of Trust Index (TI) is     βTI ≠ 0…