In a survey of 70 business firms, it was found that 45 were planning to expand their capacities next year. Does this sample information contradict the hypothesis that 70% of the firms in general are planning to expand next year?
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- In 2010, the U.S. Congress passed the historic health care reform bill that will provide some type of coverage for the 32 million Americans currently without health care insurance. Just how widespread is the lack of medical coverage? The media claim that the segments of the population most at risk for disease and thus needing healthcare are women, children, the elderly and the poor. The following tables were generated from the U.S. Census Bureau, Current Population Survey, Annual Social and Economic Supplement (2011). The tables report the number of uninsured (in thousands) by sex, by age, and by household income Is being insured or not dependent on the age groups identified in the analysis? Fill in the degrees of freedom and p-value in the output below and draw a clear conclusion indicating which age-groups are more at risk of not being insured if there is a significant relationshipAccording to the February 2008 Federal Trade Commission report on consumerfraud and identity theft, 23% of all complaints in 2007 were for identity theft. Inthat year, Arkansas had 1,601 complaints of identity theft out of 3,482 consumercomplaints ("Consumer fraud and," 2008). Does this data provide enoughevidence to show that Arkansas had a higher proportion of identity theft than23%? Test at the 5% level.The National Technology Readiness Survey sponsored by the Smith School of Business at the University of Maryland surveyed 418 randomly sampled Americans, asking them how often they delete spam emails. In 2004, 23% of the respondents said they delete their spam mail once a month or less, and in 2009 this value was 16%. a) What are the hypotheses for evaluating if the proportion of those who delete their email once a month or less has changed from 2004 to 2009? O Ho: P2009 = P2004 and HA:P2009 > P2004 Ho:P2009 P2004 and HA: P2009 # P2004 O Ho:P2009 P2004 and HA: P2009 < P2004 О Но:р — р2009 and HA:p — Р2004 b) What is the point estimate for the difference between the two population proportions?
- Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 9.79.7 million out of the 312.7312.7 million Americans suffer from sleep apnea, or approximately 3.1%3.1%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%, a simple random sample of 406406 commercial truck drivers is examined by a medical expert, who concludes that 55 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%? Use a 0.050.05 level of significance. Step 2 of 3 : Compute the value of the…Suppose an internet marketing company wants to determine the percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 94% confident that the estimated proportion is within 5% of the population proportion of customers who click on ads on their smartphones?Advertising aimed at teenagers tends to contain dance-beat music, adventure, and a fast pace rather than words. To test to see how teenagers respond to different types of commercials, 150 teenagers then watched a set of commercials with dance-beat music, adventure, and a fast pace. After the commercials, the teenagers were asked whether they would want to buy the product and 102 responded that they would buy the product. Another sample of 125 teenagers where shown a set of commercialscomprised primarily of words. After the commercials, the teenagers were asked whether they would buy the product and 60 responded that they would like to buy the product. Based on both samples, at the 5% level of significance, test the hypothesis that there is at least a 10% difference in the proportion of teenagers who would buy the product after watching the different types of commercials?
- A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimals)? % b. What percentage of the employees will suffer at least one lost-time accident over the two-year period (to 2 decimals)? %The U.S. Census Bureau reported that in 2015,the proportion of adult Americans age 25 and olderwho have a bachelor’s degree or higher is 0.325(“Educational Attainment in the United States:2015,” census.gov, retrieved January 22, 2017).Consider the population of all adult Americans age25 and over in 2015 and define 户to the proportionof people in a random sample from this populationwho have a bachelor’s degree or higher.a. Would 卢based on a random sample of only 10people from this population have approximatelya normal distribution? Explain why or why not.b. What 征e the mean value and standard deviation of户based on a random sample of size 400?c. Suppose that the sample size is n = 200 ratherthan n = 400. Does the change in sample sizeaffect the mean and standard deviation of thesampling distribution of 卢？ If so, what are thenew values for the mean and standard deviation?If not, explain why not.TechBuzz is an IT company that monitors the status of large data warehouses. According to TechBuzz, last year the majority of the data servers used by energy-based companies were over-utilized. A sample of 190 servers (all used by energy-based companies) showed that 142 were over-utilized, 12 were used efficiently, and 36 were underutilized. a. What is the point estimate of the proportion of the servers that were under-utilized? b. Determine the margin of error and provide a 95% confidence interval for the proportion of the servers that were over-utilized. c. What is the minimum sam
- Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal. AirTran Southwest 34 59 | 43 30 3 45 64 42 33 66 32 42 | 85 30 48 105 45 28 | 38 85 110 50 10 33 50 26 70 75 45 63 52 83 78 27 70 42 35 33 64 65 27 90 38 52 76 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let u, = population mean minutes late for delayed Airtran flights and u, = population mean minutes…Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 178 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H, :0 H, : (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the…
