using a survey of respondents who were either unemployed (A) or employed (B). The survey results revealed that among those surveyed, 70% of those currently unemployed gain employment within the following month, and 30% remain unemployed. Meanwhile, 80% of those currently employed maintain employment through the following month, and 20% become unemployed. Suppose 75% of the population is
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Labor trends were recently studied using a survey of respondents who were either unemployed (A) or employed (B). The survey results revealed that among those surveyed, 70% of those currently unemployed gain employment within the following month, and 30% remain unemployed. Meanwhile, 80% of those currently employed maintain employment through the following month, and 20% become unemployed. Suppose 75% of the population is currently employed.
Using the probabilities and states given, what percentage of the population will likely be employed two months from now? (Enter numerical value only. Do not enter % sign. Round the percentage to 1 decimal place, or to the nearest tenth of a percent.)
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- Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer O Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity. O As part of her senior project, Kaisa asked 84 of her classmates if they voted in the last presidential election. 39 said yes. O of 351 dog owners who were surveyed, 70 reported owning two dogs. The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time time of 4:14.In each scenario, identify the population, the sample, and any population parameters or sample statistics that are given. US realtors across the country are encouraged by the latest reports on the real estate market. Considering seasonal factors, sales rose by nearly 9% in the West, 3.5% in the South, 3.4% in the northeast, and 1% in the Midwest.In a city, according to a 1990 demographic report based on the census result, the average daily spending onfood per person is $75.In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food foreach interviewee is recorded as follow:55.0 59.5 62.5 65.5 68.5 69.0 70.0 70.0 82.0 82.583.5 85.0 86.0 86.5 86.5 87.0 87.0 87.0 89.0 92.593.0 94.5 94.5 96.0 98.0 102.5 108.5 110.5(a) Find the point estimate for the population mean daily spending on food per person in year 2020.(b) It is assumed that the spending is normally distributed. Construct a 90% confidence interval estimatefor the population mean daily spending on food per person in year 2020.(c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in2020 is higher than 1990? Test at 1% level of significance. (State clearly the null hypothesis,alternatively hypothesis, rejection region, test statistics and conclusion.)
- A study reveals that 82% relationships end in the first two years. A random sample of 100 newly formed couples isselected.a. What is the probability that the sample proportion is less than 0.80?b. What is the probability that the sample proportion is within ±0.02 of the population proportion?An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval OpThe World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…A survey of insurance professionals explores the use of technology in the industry. The table below contains the responses to the question that asked what technologies these professionals expected to be most used by the insurance industry in the coming year. Technology Wearable technology Blockchain technology Artificial Intelligence loT: retail insurance loT: commercial insurance Frequency D 8 7 13 28 4 30 Social media a. Compute the percentage of responses for each technology. b. What conclusions can you reach concerning expected technology usage in the insurance industry in the coming year? a. Compute the percentage of values for each response need. Technology Wearable technology Frequency Percentage (%) Blockchain technology 7 Artificial Intelligence 13 % loT: retail insurance 28 % loT: commercial insurance 4 1% P Type here to search & 6 %24 4 (CO T Y R W DMicrosoft Word -... 56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 170 of the 278 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer ✓ Ho: ? H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who…Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 21 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. LAUSE SALT (a) What is the level of significance? ← State the null and alternate hypotheses. OM P=0.7; M₁: P 5 and ng> 5. O The Student's t, since np> 5 and ng 5. O The Student's t, since np < 5 and ng < 5 O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal places) - (C)…Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. 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.…A company organizes its sales into territories, each assigned to one sales representative. An analyst theorizes that the on-the-job experience level of the sales rep may be related to the amount of sales in each territory. The analyst decided to use the time the sales reps had been employed at the company to predict sales. After taking a random sample of sales territories, the analyst measured the last quarter's Sales in dollars and the Experience the sales rep had at the company in months. Here are the three tables from the regression results: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Experience (months) 0.5966 0.3559 0.339 497.9058 40 df 1 38 39 Coefficients 6.6108 SS 5205388.04 5205388.04 9420585.51 Standard Error 4250.9742 180.2332 14625973.55 1.4427 How many territories are in the sample? 247910.15 t Stat MS 23.586 4.5822 P-value 2.71E-24 4.85E-05 F 20.9971 Lower 95% Upper 95% 3886.1113…Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 25 were of males aged 15 to 34 years. Use a 10% level of significance to test the daim that the population proportion of such arrests in Rock Springs is different from 70%. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O H P 0.7 O H.: p - 0.7; H,: p 5 and ng > S. O The standard normal, since np > 5 and ng > 5. O The Student's t, since npSEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON