3 The Service Corps of Retired Executives collected the data below to see if their small business consulting work in New Orleans changed after Hurricane Katrina. Their results are summarized in this table. (Academy of Strategic Management Journal, Volume 7, Special Issue, 2008) Before Katrina After Katrina State the null and alternative hypotheses in words. Type of contact Face to Face Online Telephone 729 291 12 346 223 25
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- The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use α = 0.05. State the null and alternate hypotheses. H0: μ = 0.36; H1: μ < 0.36H0: p = 0.36; H1: p > 0.36 H0: p = 0.36; H1: p < 0.36H0: p = 0.36; H1: p ≠ 0.36H0: μ = 0.36; H1: μ > 0.36H0: μ = 0.36; H1: μ ≠ 0.36 (b) What sampling distribution will you use? What assumptions are you making? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal…Massachusetts Institute of Technology grants pirate certificates to those students who successfully complete courses in archery, fencing, sailing, and pistol shooting ("MIT Awards Pirate Certificates to Undergraduates," Boston Globe, March 3, 2012). Sheila claims that those students who go on to earn pirate certificates are able to hit a higher proportion of bull's-eyes during the archery final exam than the course average of 0.15. Specify the null and alternative hypotheses to test her claim.The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.
- The vice-president of administration wonders whether employees are taking adequate amounts of vacation time. Employee burnout is a concern. Research suggests that an employee taking less than 1.4 weeks of vacation annually is very likely to experience burnout. Analyze the employee vacation data and conduct a hypothesis test with the following results: t = 2.93p = 0.0084 What reasons should the vice-president provide to the president to justify the recommendation on employee burnout? Based on the data, is the presence of employee burnout an issue that may negatively impact the company?College administrators at the same institution are further concerned about the differences in binge drinking behaviors among men and women on campus. Suppose of the 268 participants surveyed about their drinking habits that reported binge drinking behaviors, 94 were female. Is there statistically significant evidence at the alpha level of 0.05 that males partake in binge drinking behaviors more so than females involved in Greek life organizations? Write out your null and alternative hypotheses and interpret your results. A. Hypotheses: H0: p=0.50 and Ha: p<0.50 B. Test Statistic: (Normal approximation to the binomial is used) ���^ = 0.03054 zstat= -4.88678 C. P-value: P < 0.0002 D. Significance level: Are the results significant? Group of answer choices Yes, the evidence against H0 is not sufficient to warrant its rejection. Yes, the evidence against H0 is sufficient to warrant its rejection. No, the evidence against H0 is not sufficient to…Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent clinical study, 82 patients with Type 2 diabetes underwent this procedure, and 65 of them experienced a recovery from diabetes. Does this study provide evidence that more than 70% of those with diabetes who undergo this surgery will recover from diabetes? Use 0.05 as the level of significance. (a) State the null (H0) and alternate (Ha) hypotheses. H0: Ha: (b) If the null hypothesis is true, the sample proportion, p hat, has approxmately a Normal distribution with a mean of (blank) and a standard error of (blank). *(I need help on this one filling in the blank portions)*
- Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent clinical study, 82 patients with Type 2 diabetes underwent this procedure, and 65 of them experienced a recovery from diabetes. Does this study provide evidence that more than 70% of those with diabetes who undergo this surgery will recover from diabetes? Use 0.05 as the level of significance. (a) State the null (H0) and alternate (Ha) hypotheses. H0: Ha: (b) If the null hypothesis is true, the sample proportion, p hat, has approxmately a Normal distribution with a mean of and a standard error of . (c) Give the standard score (z) for the data. (d) Find the P-value for this significance test. (e) Choose the correct decision for this test of significance. A) Do not reject the null hypothesis B) Reject the null hypothesis Selection: (f) Choose the correct final conclusion in the context of the…Use the five steps in the hypothesis testing procedure for each answer The CEO of a large financial institution claims that, on average, their clientsinvest more than R150 000 per year in a particular portfolio. Test this claim atthe 10% significance level if it was found that a sample of 25 clients invested an average of R145 000 in the portfolio over the last year, with a standarddeviation of R15 000.I bought a new set of headphones, and it failed after two days. The manufacturer claims that this happens only in less than 1 percent of cases. The Bureau of Consumer Affairs decides to investigate my complaint and tests 120 sets of headphones. What should their null hypothesis be if they want to collect evidence against the manufacturer's claim? What form should their p-value have? a. H0: p>= 0.01 with p-value P(k >= c | p = 0.01) b. H0: p<= 0.01 with p-value P(k <= c | p = 0.01) c. None of the other answers is correct. d. H0: p<= 0.01 with p-value P(k >= c | p = 0.01) e. H0: p>= 0.01 with p-value P(k <= c | p = 0.01)
- The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 75% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 75% in Kit Carson County? Use ? = 0.10. (a) What is the level of significance? State the null hypothesis H0 and the alternate hypothesis H1 . H0 : p H1 : p (b) What sampling distribution will you use? The Student's tThe standard normal since np and nq What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. A plot of…Back in April and May 19 85 the Gallup organization conducted a pool to estimate the percentage of Americans who approved President Reagan was at the 5% significance level to the data suggest that the percentage of those who approved the Reagan increase in 1985? Population 1 April P=795/1528 = 0.5203 Population 2 May P=840/1528 = 0.5497.So all your steps setting up your Null and alternative hypothesisBack in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage of Americans who approved of how President Reagan was handling his job. At the 5% significance level, do the data suggest that the percentage of those who approved of Reagan increased from April to May in 1985? Population 1: April p = 795/1528 = 0.5203 Population 2: May p = 840/1528 = 0.5497 Show all your steps, setting up your null and alternative hypothesis.